XY = [
0 0
0.0588235 0.0588235
0.117647 0.117647
0.176471 0.176471
0.235294 0.235294
0.294118 0.294118
0.352941 0.352941
0.411765 0.411765
0.470588 0.470588
0.529412 0.529412
0.588235 0.588235
0.647059 0.647059
0.705882 0.705882
0.764706 0.764706
0.823529 0.823529
0.882353 0.882353
0.941176 0.941176
];
[X, Y] = meshgrid(XY(:,1), XY(:,2));
U = [0.806039 0.843887 0.902454 0.974001 1.04886 1.11684 1.16889 1.19823 1.20088 1.17612 1.12675 1.05918 0.983087 0.909581 0.848809 0.808574 0.793752 
0.644336 0.717218 0.828576 0.963471 1.10354 1.22977 1.32538 1.37782 1.38002 1.33129 1.23749 1.11088 0.969226 0.832697 0.719966 0.645749 0.619451 
0.529508 0.627839 0.777246 0.95756 1.1442 1.31185 1.43818 1.50654 1.50776 1.44135 1.31552 1.14672 0.95843 0.777183 0.627627 0.529409 0.49523 
0.476814 0.586962 0.753781 0.954701 1.16234 1.34855 1.48845 1.56356 1.56385 1.48903 1.34849 1.16062 0.951417 0.750207 0.584249 0.475422 0.437964 
0.493694 0.600226 0.761208 0.954871 1.15487 1.33412 1.46863 1.54055 1.54027 1.46764 1.33186 1.1507 0.949214 0.755587 0.595974 0.49146 0.455795 
0.57838 0.666783 0.799987 0.960033 1.12524 1.27328 1.38428 1.44344 1.44277 1.38222 1.26953 1.11948 0.952906 0.793057 0.66146 0.575518 0.54656 
0.720028 0.778751 0.866576 0.971731 1.08013 1.17722 1.24992 1.28841 1.28734 1.24676 1.17193 1.07276 0.963088 0.858226 0.772217 0.716444 0.698275 
0.900405 0.922026 0.953069 0.989466 1.02667 1.05992 1.08469 1.09738 1.096 1.08064 1.05337 1.01792 0.979389 0.943184 0.914081 0.895963 0.891243 
1.09622 1.078 1.04812 1.01073 0.971562 0.936401 0.909882 0.895132 0.893717 0.905734 0.929737 0.96268 1.00027 1.03743 1.0691 1.09114 1.10067 
1.28146 1.22554 1.13832 1.03167 0.920948 0.821779 0.747378 0.707195 0.706156 0.74433 0.81684 0.914142 1.02311 1.12891 1.21728 1.27662 1.29909 
1.42979 1.34328 1.21001 1.04805 0.880346 0.730292 0.617893 0.55769 0.557351 0.616917 0.728664 0.877714 1.04383 1.2044 1.33781 1.42645 1.45862 
1.51837 1.41296 1.2517 1.05634 0.854393 0.673804 0.538642 0.466572 0.46697 0.539846 0.675675 0.856257 1.05703 1.25066 1.41108 1.51703 1.55452 
1.53343 1.42386 1.25686 1.05493 0.846403 0.660026 0.520625 0.446525 0.447461 0.523383 0.664309 0.851313 1.05897 1.25904 1.42456 1.53355 1.57157 
1.47415 1.37552 1.22559 1.04457 0.857854 0.691118 0.566545 0.500564 0.501858 0.570282 0.696799 0.864425 1.05043 1.22958 1.37773 1.47513 1.5088 
1.35137 1.2768 1.16387 1.02789 0.887967 0.763272 0.67036 0.621516 0.623149 0.674999 0.77017 0.895907 1.03526 1.16942 1.28033 1.3531 1.37794 
1.18366 1.14282 1.08159 1.0084 0.933607 0.867394 0.818518 0.793482 0.795538 0.82428 0.875772 0.943096 1.01735 1.08872 1.14766 1.18613 1.19876 
0.99376 0.992002 0.990456 0.989518 0.989522 0.990427 0.992076 0.99433 0.996819 0.998961 1.00018 1.00021 0.99942 0.998442 0.997553 0.996623 0.995385 
];
figure;
plot3(X,Y,U,'.b','MarkerSize',5);
title('N = 16, ux');
U = [1.19183 1.36181 1.4827 1.53546 1.51263 1.41967 1.27178 1.08998 0.898098 0.72053 0.579949 0.494724 0.476445 0.52804 0.643077 0.80674 0.997972 
1.15419 1.2894 1.38502 1.42603 1.40673 1.33163 1.21312 1.0683 0.916394 0.776788 0.667045 0.600845 0.586715 0.627174 0.717844 0.847555 0.999713 
1.0947 1.17728 1.23516 1.259 1.24553 1.19799 1.1246 1.03638 0.945335 0.863147 0.799696 0.761795 0.753527 0.776794 0.830204 0.907978 1.00033 
1.02151 1.04068 1.05336 1.05686 1.05074 1.03681 1.01827 0.998693 0.981201 0.968083 0.960039 0.955813 0.954308 0.956693 0.965043 0.97996 0.999875 
0.945332 0.89908 0.865294 0.848012 0.849691 0.87072 0.909129 0.960679 1.01924 1.07734 1.12622 1.15645 1.16172 1.14244 1.10417 1.05401 0.998925 
0.877052 0.772326 0.697074 0.6613 0.670065 0.722521 0.812077 0.927477 1.05424 1.17608 1.27572 1.3365 1.34764 1.3089 1.22881 1.1203 0.997988 
0.825746 0.677318 0.571125 0.521601 0.535773 0.61191 0.73998 0.903455 1.08153 1.25117 1.38861 1.47193 1.48722 1.43376 1.32223 1.16987 0.99711 
0.797805 0.626256 0.503835 0.447233 0.464503 0.553493 0.70239 0.891851 1.09759 1.29278 1.45006 1.54488 1.56199 1.50043 1.37189 1.19588 0.996056 
0.796526 0.625543 0.503879 0.447929 0.46563 0.554948 0.704224 0.894135 1.10022 1.29529 1.45181 1.5456 1.56196 1.49995 1.37102 1.19464 0.994611 
0.821994 0.675229 0.571286 0.523676 0.539063 0.616078 0.745153 0.909815 1.08875 1.25797 1.39324 1.47369 1.48691 1.43222 1.31962 1.1662 0.992876 
0.871006 0.768912 0.697276 0.664542 0.675123 0.728787 0.819687 0.936608 1.06431 1.18521 1.28151 1.33813 1.34632 1.30587 1.2243 1.1143 0.991181 
0.937178 0.894179 0.865013 0.851622 0.855537 0.877957 0.917834 0.970875 1.03002 1.08651 1.13125 1.15664 1.15857 1.13745 1.09762 1.04587 0.989883 
1.01166 1.03407 1.0517 1.05947 1.0558 1.04341 1.02645 1.00826 0.990988 0.975809 0.963407 0.954393 0.949641 0.950267 0.957182 0.970543 0.989397 
1.08432 1.16951 1.2319 1.2598 1.2487 1.20274 1.13096 1.04409 0.953157 0.869016 0.801754 0.759799 0.748769 0.770493 0.822601 0.89884 0.989874 
1.14534 1.28231 1.38138 1.42562 1.40825 1.33448 1.21733 1.07362 0.921829 0.780793 0.66833 0.599266 0.583129 0.622373 0.711954 0.840317 0.991164 
1.18672 1.35758 1.48037 1.53495 1.51323 1.42102 1.27389 1.09271 0.900902 0.722589 0.580614 0.493923 0.474583 0.525488 0.639877 0.802732 0.993143 
1.20302 1.3854 1.51578 1.57331 1.54968 1.45078 1.29295 1.09849 0.892717 0.701662 0.549852 0.457487 0.437381 0.492599 0.61588 0.791063 0.995579 
];
figure;
plot3(X,Y,U,'.b','MarkerSize',5);
title('N = 16, uy');
P = [-0.119902 -0.0698244 -0.0144194 0.016515 0.00604047 -0.0401865 -0.0974684 -0.135862 -0.135488 -0.0963095 -0.0380758 0.00964714 0.0223751 -0.00651465 -0.0619042 -0.114911 -0.138175 
-0.0677895 -0.0173354 0.0380434 0.0686167 0.0577246 0.0110713 -0.0467462 -0.0856535 -0.0854756 -0.0460745 0.0126264 0.0608003 0.0737192 0.0447141 -0.0108267 -0.0637282 -0.0865908 
-0.0110733 0.0398731 0.0953682 0.125848 0.114884 0.0680879 0.00984937 -0.029666 -0.0299549 0.009289 0.0680569 0.116345 0.129215 0.0999738 0.0443093 -0.00833218 -0.0305834 
0.0213214 0.0726133 0.128164 0.158662 0.147829 0.101067 0.0424779 0.00227044 0.00126436 0.0400067 0.0985555 0.146836 0.159696 0.130386 0.0748454 0.0226958 0.00116315 
0.0126585 0.063972 0.11936 0.149802 0.139104 0.0924241 0.0335868 -0.00720204 -0.00890029 0.0292826 0.0875865 0.135928 0.148932 0.119775 0.0645827 0.0130327 -0.00787378 
-0.0325434 0.0185915 0.0737522 0.104184 0.0937116 0.0472614 -0.0115739 -0.0526513 -0.0548529 -0.0171884 0.0408275 0.08914 0.102203 0.0731815 0.0183359 -0.0327041 -0.0531903 
-0.0906423 -0.0395531 0.0156597 0.0463981 0.0364131 -0.00958557 -0.0681714 -0.109294 -0.111867 -0.0747482 -0.0172144 0.0307204 0.0434674 0.0143083 -0.0403961 -0.0911296 -0.111361 
-0.131484 -0.0801301 -0.0244596 0.00691701 -0.00241691 -0.0479151 -0.106195 -0.147247 -0.15005 -0.113387 -0.0564118 -0.00913827 0.00293908 -0.0266632 -0.0815179 -0.132226 -0.152357 
-0.134123 -0.0822748 -0.0259051 0.00619271 -0.00261332 -0.0478287 -0.10594 -0.146867 -0.149642 -0.113086 -0.0564275 -0.00976868 0.00156625 -0.0286351 -0.083918 -0.134938 -0.155186 
-0.0974509 -0.0451112 0.0118951 0.0445069 0.0358944 -0.00937168 -0.0674905 -0.108219 -0.110645 -0.0737611 -0.01705 0.0292503 0.0400219 0.00928886 -0.0465238 -0.0980752 -0.118632 
-0.0408075 0.0117241 0.0690347 0.101826 0.0931074 0.0475998 -0.0105451 -0.0509207 -0.0527321 -0.0152518 0.0417361 0.0879253 0.0984442 0.0674664 0.0112764 -0.0408308 -0.0618611 
0.00563722 0.057943 0.115228 0.14802 0.139161 0.0935125 0.0355403 -0.00427466 -0.00534764 0.0327413 0.090001 0.136206 0.146748 0.115825 0.0594495 0.00678982 -0.0149202 
0.0166573 0.0685462 0.125736 0.158607 0.1498 0.104276 0.0467244 0.00758015 0.00715318 0.0456075 0.102909 0.149051 0.159669 0.128891 0.0724091 0.019231 -0.0032238 
-0.0138338 0.0376465 0.0947595 0.127756 0.1191 0.0738401 0.0167848 -0.0217712 -0.021802 0.0166939 0.0737808 0.119743 0.130418 0.0998239 0.0433609 -0.0101183 -0.0331189 
-0.0693866 -0.0183836 0.0384609 0.0713199 0.0626022 0.0174769 -0.0392135 -0.0773648 -0.0771883 -0.0387567 0.018157 0.0641039 0.0750356 0.0448209 -0.0113807 -0.0648595 -0.0881594 
-0.120659 -0.0702158 -0.0139206 0.018387 0.00923542 -0.0360354 -0.0926142 -0.130567 -0.130242 -0.0917197 -0.034643 0.0116827 0.0231857 -0.00645346 -0.0622377 -0.115539 -0.138983 
-0.141042 -0.0909854 -0.035267 -0.0037059 -0.0135268 -0.0592103 -0.116002 -0.154033 -0.153623 -0.114811 -0.057223 -0.0102108 0.0019892 -0.0271246 -0.0825796 -0.135698 -0.159144 
];
figure;
plot3(X,Y,P,'.b','MarkerSize',5);
title('N = 16, p');
XY = [
0 0
0.030303 0.030303
0.0606061 0.0606061
0.0909091 0.0909091
0.121212 0.121212
0.151515 0.151515
0.181818 0.181818
0.212121 0.212121
0.242424 0.242424
0.272727 0.272727
0.30303 0.30303
0.333333 0.333333
0.363636 0.363636
0.393939 0.393939
0.424242 0.424242
0.454545 0.454545
0.484848 0.484848
0.515152 0.515152
0.545455 0.545455
0.575758 0.575758
0.606061 0.606061
0.636364 0.636364
0.666667 0.666667
0.69697 0.69697
0.727273 0.727273
0.757576 0.757576
0.787879 0.787879
0.818182 0.818182
0.848485 0.848485
0.878788 0.878788
0.909091 0.909091
0.939394 0.939394
0.969697 0.969697
];
[X, Y] = meshgrid(XY(:,1), XY(:,2));
U = [0.922385 0.925892 0.932069 0.940691 0.951451 0.963959 0.977765 0.992368 1.00724 1.02184 1.03565 1.04816 1.05892 1.06755 1.07374 1.07725 1.07798 1.07587 1.07102 1.0636 1.05386 1.04217 1.02894 1.01466 0.999834 0.985012 0.970728 0.9575 0.945806 0.936069 0.928639 0.923782 0.921673 
0.822713 0.830756 0.844909 0.86466 0.889298 0.917933 0.949532 0.982951 1.01698 1.05039 1.08198 1.11059 1.1352 1.15492 1.16905 1.17706 1.17867 1.17382 1.16269 1.14567 1.12337 1.09661 1.06634 1.03367 0.999769 0.965876 0.933217 0.902971 0.876234 0.853971 0.836983 0.825883 0.821068 
0.729451 0.741742 0.763361 0.793529 0.831157 0.874888 0.92314 0.974169 1.02613 1.07714 1.12536 1.16905 1.20662 1.23672 1.25827 1.27049 1.27293 1.26551 1.24849 1.22249 1.18844 1.14757 1.10135 1.05147 0.99972 0.94798 0.898123 0.851952 0.811136 0.77715 0.751218 0.734276 0.726932 
0.645963 0.662059 0.690366 0.729863 0.779124 0.836371 0.899535 0.966332 1.03435 1.10112 1.16424 1.22141 1.27059 1.30999 1.33819 1.35417 1.35735 1.34763 1.32534 1.29129 1.24671 1.1932 1.13271 1.06742 0.999683 0.931963 0.866708 0.806279 0.752859 0.708377 0.674438 0.652266 0.642659 
0.575262 0.594582 0.628556 0.675956 0.735072 0.803769 0.879563 0.959716 1.04133 1.12145 1.19718 1.26579 1.32479 1.37206 1.40589 1.42505 1.42887 1.41718 1.39043 1.34957 1.29606 1.23186 1.15927 1.08092 0.999653 0.918399 0.840103 0.767598 0.703503 0.650133 0.609413 0.582813 0.571291 
0.5199 0.541748 0.58016 0.633751 0.700586 0.77825 0.863937 0.954548 1.04681 1.13738 1.22299 1.30055 1.36725 1.42068 1.45891 1.48057 1.48487 1.47166 1.4414 1.3952 1.33471 1.26213 1.18007 1.0915 0.999625 0.907773 0.819266 0.737305 0.664851 0.604521 0.558493 0.528426 0.515405 
0.481878 0.505463 0.546926 0.60477 0.676907 0.76073 0.853211 0.951005 1.05058 1.14833 1.24072 1.32442 1.39641 1.45407 1.49533 1.5187 1.52333 1.50906 1.4764 1.42653 1.36125 1.2829 1.19434 1.09875 0.999595 0.900466 0.804947 0.716492 0.638299 0.57319 0.523517 0.491071 0.477022 
0.462572 0.48704 0.530053 0.590058 0.664887 0.751837 0.847766 0.949206 1.05249 1.15388 1.24972 1.33654 1.4112 1.47101 1.51381 1.53804 1.54284 1.52804 1.49416 1.44242 1.3747 1.29343 1.20156 1.10241 0.999563 0.896741 0.797663 0.705913 0.624807 0.557274 0.505752 0.472099 0.457531 
0.462679 0.487146 0.530152 0.590146 0.664959 0.751891 0.847798 0.949214 1.05247 1.15384 1.24966 1.33645 1.41109 1.47089 1.51367 1.5379 1.5427 1.52789 1.49402 1.44229 1.37458 1.29333 1.20148 1.10235 0.999529 0.896731 0.797677 0.70595 0.624864 0.557348 0.505839 0.472198 0.457636 
0.482197 0.505776 0.54722 0.605031 0.677124 0.760891 0.853307 0.951031 1.05053 1.14821 1.24053 1.32417 1.39609 1.45371 1.49494 1.51828 1.52291 1.50864 1.47599 1.42615 1.3609 1.28261 1.1941 1.09858 0.999496 0.900439 0.80499 0.716602 0.638467 0.57341 0.523778 0.491363 0.477334 
0.520419 0.542258 0.580641 0.634181 0.700944 0.778519 0.864102 0.954599 1.04674 1.1372 1.22269 1.30015 1.36675 1.42011 1.45829 1.47991 1.48419 1.47098 1.44075 1.39459 1.33416 1.26165 1.17969 1.09123 0.999468 0.907733 0.81934 0.737485 0.665127 0.604879 0.558918 0.528902 0.515913 
0.575967 0.595276 0.629211 0.676544 0.735566 0.804144 0.879802 0.959803 1.04126 1.12122 1.1968 1.26527 1.32415 1.37132 1.40507 1.42419 1.42797 1.41629 1.38957 1.34876 1.29534 1.23124 1.15877 1.08057 0.99945 0.918353 0.84021 0.767847 0.70388 0.65062 0.609991 0.583458 0.571979 
0.646833 0.662917 0.691178 0.730595 0.779745 0.836851 0.89985 0.966465 1.03429 1.10087 1.16381 1.22082 1.26985 1.30912 1.33723 1.35314 1.3563 1.34657 1.32431 1.29033 1.24584 1.19246 1.13212 1.067 0.999451 0.93192 0.86685 0.806594 0.753329 0.708981 0.675152 0.653061 0.643507 
0.730461 0.74274 0.764309 0.794388 0.831891 0.875463 0.923529 0.974354 1.0261 1.0769 1.12491 1.16841 1.20581 1.23578 1.25722 1.26936 1.27176 1.26434 1.24735 1.22142 1.18748 1.14675 1.1007 1.05101 0.999475 0.94795 0.898303 0.852329 0.81169 0.777856 0.752049 0.7352 0.727916 
0.823835 0.831866 0.845966 0.865623 0.890126 0.918592 0.949991 0.983189 1.01699 1.05017 1.08153 1.10994 1.13437 1.15394 1.16794 1.17587 1.17744 1.17258 1.16148 1.14454 1.12235 1.09574 1.06566 1.0332 0.999528 0.965869 0.933437 0.903405 0.87686 0.854762 0.837909 0.82691 0.822162 
0.923587 0.927083 0.933205 0.941731 0.952351 0.964683 0.978281 0.992655 1.00729 1.02165 1.03522 1.04752 1.05809 1.06657 1.07263 1.07606 1.07673 1.07462 1.0698 1.06245 1.05284 1.0413 1.02826 1.0142 0.999614 0.985035 0.970988 0.957983 0.94649 0.936926 0.929636 0.924886 0.922845 
1.02612 1.02496 1.02288 1.01997 1.01632 1.01207 1.00738 1.00241 0.997341 0.992367 0.987664 0.983405 0.979742 0.976809 0.974708 0.973515 0.97327 0.973982 0.975623 0.978136 0.981431 0.985389 0.989869 0.994709 0.999733 1.00476 1.00961 1.0141 1.01807 1.02139 1.02392 1.02559 1.02634 
1.12774 1.12195 1.11175 1.0975 1.07972 1.05905 1.03623 1.01209 0.987509 0.963376 0.940566 0.919904 0.902135 0.887903 0.877717 0.871945 0.870793 0.874301 0.882343 0.894629 0.910717 0.930027 0.951861 0.97543 0.999883 1.02433 1.0479 1.06972 1.08902 1.1051 1.11737 1.1254 1.1289 
1.22476 1.21457 1.19661 1.17154 1.14026 1.10391 1.06378 1.02135 0.978138 0.935718 0.895622 0.859302 0.82807 0.803052 0.78515 0.775008 0.772991 0.779171 0.793325 0.814943 0.843244 0.877209 0.915609 0.957059 1.00006 1.04305 1.08448 1.12285 1.15678 1.18504 1.20661 1.22071 1.22683 
1.31369 1.29945 1.27438 1.2394 1.19575 1.14502 1.08904 1.02984 0.969561 0.910384 0.85445 0.803784 0.760214 0.725315 0.700343 0.6862 0.683393 0.692023 0.711779 0.741949 0.781444 0.828838 0.88242 0.940253 1.00025 1.06023 1.11803 1.17156 1.21889 1.25831 1.2884 1.30806 1.31659 
1.39129 1.37352 1.34225 1.29861 1.24417 1.1809 1.11109 1.03726 0.962082 0.888284 0.818532 0.755349 0.701017 0.657497 0.626358 0.608724 0.605229 0.615999 0.640645 0.678279 0.727542 0.786657 0.853486 0.925614 1.00043 1.07524 1.14733 1.21409 1.27311 1.32227 1.35978 1.38429 1.39493 
1.45475 1.43409 1.39774 1.34702 1.28376 1.21023 1.12911 1.04332 0.955965 0.870213 0.789163 0.715746 0.652613 0.602045 0.565865 0.545378 0.541322 0.553843 0.58249 0.626229 0.683482 0.752181 0.829843 0.913662 1.00061 1.08753 1.1713 1.24888 1.31746 1.37458 1.41816 1.44664 1.45899 
1.50177 1.47896 1.43885 1.38288 1.31308 1.23196 1.14245 1.0478 0.951426 0.856819 0.767401 0.686403 0.616753 0.560964 0.52105 0.498451 0.49398 0.507801 0.539413 0.587677 0.65085 0.726649 0.812338 0.904817 1.00074 1.09665 1.18907 1.27466 1.35032 1.41334 1.46142 1.49283 1.50645 
1.53062 1.50649 1.46407 1.40488 1.33106 1.24528 1.15063 1.05054 0.948628 0.848586 0.754031 0.668381 0.594731 0.535739 0.493534 0.46964 0.464917 0.479537 0.512971 0.564013 0.630821 0.71098 0.801595 0.89939 1.00083 1.10225 1.19997 1.29048 1.37049 1.43712 1.48797 1.52118 1.53557 
1.54025 1.51569 1.47249 1.41222 1.33706 1.24971 1.15334 1.05143 0.947669 0.84581 0.749538 0.662332 0.587344 0.527282 0.484313 0.459987 0.455182 0.470072 0.504118 0.556092 0.624117 0.705736 0.798 0.897573 1.00086 1.10412 1.20362 1.29577 1.37723 1.44507 1.49684 1.53065 1.5453 
1.53033 1.50621 1.46381 1.40464 1.33085 1.2451 1.15049 1.05045 0.948585 0.848592 0.754083 0.668475 0.594861 0.535901 0.49372 0.469843 0.465129 0.479749 0.513175 0.5642 0.630982 0.711107 0.801681 0.89943 1.00082 1.10219 1.19987 1.29033 1.3703 1.4369 1.48771 1.52091 1.53529 
1.50121 1.47841 1.43833 1.38241 1.31266 1.23161 1.14218 1.04762 0.951345 0.856832 0.767503 0.686588 0.61701 0.561283 0.521417 0.498851 0.494398 0.50822 0.539817 0.588047 0.651169 0.726902 0.812511 0.904901 1.00073 1.09654 1.18887 1.27437 1.34995 1.4129 1.46093 1.4923 1.5059 
1.45396 1.43331 1.397 1.34634 1.28316 1.20973 1.12873 1.04307 0.955852 0.870236 0.789317 0.716019 0.652992 0.602511 0.5664 0.545962 0.541932 0.554456 0.58308 0.626772 0.683953 0.752558 0.830106 0.913797 1.00061 1.08739 1.17102 1.24847 1.31694 1.37396 1.41747 1.44589 1.45821 
1.39031 1.37255 1.34132 1.29775 1.24342 1.18028 1.11061 1.03695 0.96195 0.888324 0.818737 0.755705 0.701506 0.658097 0.627047 0.609474 0.606013 0.616787 0.641406 0.678982 0.728156 0.787153 0.85384 0.925809 1.00046 1.07509 1.147 1.2136 1.27248 1.32151 1.35893 1.38337 1.39396 
1.31256 1.29834 1.27332 1.23842 1.19489 1.14431 1.08851 1.0295 0.969422 0.910446 0.854706 0.804216 0.760803 0.726034 0.701166 0.687095 0.684328 0.692964 0.71269 0.742794 0.782186 0.829445 0.882863 0.94051 1.0003 1.06008 1.11768 1.17103 1.21819 1.25746 1.28743 1.30701 1.31549 
1.22355 1.21337 1.19546 1.17048 1.13934 1.10314 1.06321 1.02099 0.978006 0.935809 0.895928 0.859804 0.828744 0.803871 0.786084 0.776023 0.774052 0.78024 0.794362 0.815907 0.844097 0.877914 0.916134 0.957379 1.00016 1.04292 1.08413 1.1223 1.15604 1.18414 1.20557 1.21958 1.22564 
1.12648 1.12071 1.11057 1.09641 1.07877 1.05827 1.03565 1.01174 0.987396 0.963501 0.940918 0.920465 0.902881 0.888802 0.878739 0.873053 0.871949 0.875467 0.883476 0.895687 0.911658 0.930812 0.952455 0.975809 1.00003 1.02424 1.04757 1.06917 1.08827 1.10418 1.11632 1.12424 1.12768 
1.02487 1.02372 1.0217 1.01888 1.01538 1.01131 1.00682 1.00208 0.997259 0.992528 0.988059 0.984014 0.98054 0.977765 0.97579 0.974685 0.97449 0.975211 0.97682 0.979256 0.982432 0.986231 0.990516 0.995134 0.99992 1.0047 1.00931 1.01357 1.01735 1.02049 1.02288 1.02445 1.02512 
];
figure;
plot3(X,Y,U,'.b','MarkerSize',5);
title('N = 32, ux');
U = [1.07728 1.17705 1.27045 1.35409 1.42495 1.48044 1.51854 1.53788 1.53773 1.51812 1.47976 1.42405 1.35303 1.26927 1.17581 1.07602 0.973507 0.871968 0.775064 0.686288 0.608843 0.545524 0.49862 0.469826 0.460182 0.470039 0.499041 0.546139 0.609633 0.687231 0.776133 0.873135 0.974737 
1.07378 1.16902 1.25817 1.33801 1.40564 1.45861 1.49497 1.51342 1.51328 1.49456 1.45794 1.40476 1.33697 1.25701 1.16779 1.07254 0.974689 0.87777 0.785277 0.700545 0.626631 0.566202 0.52144 0.493962 0.484761 0.494172 0.521853 0.566807 0.62741 0.701476 0.786334 0.878924 0.975907 
1.06762 1.15488 1.23657 1.30972 1.37168 1.4202 1.45352 1.47042 1.47028 1.45312 1.41957 1.37084 1.30872 1.23545 1.15371 1.06643 0.976776 0.88798 0.803244 0.725622 0.657913 0.60256 0.561559 0.536392 0.527967 0.536589 0.561948 0.603129 0.658649 0.726504 0.804249 0.889081 0.977939 
1.059 1.13513 1.2064 1.27022 1.32428 1.36662 1.39568 1.41042 1.41029 1.39531 1.36603 1.32351 1.2693 1.20538 1.13405 1.05791 0.979693 0.902231 0.828316 0.760612 0.701559 0.653285 0.617531 0.595585 0.588239 0.59576 0.617877 0.653795 0.702221 0.76141 0.82923 0.903236 0.980758 
1.04824 1.11049 1.16877 1.22096 1.26516 1.29978 1.32354 1.33558 1.33547 1.32322 1.29926 1.26448 1.22015 1.16787 1.10955 1.04728 0.983336 0.92001 0.859591 0.804254 0.755994 0.716547 0.687333 0.669402 0.663401 0.669547 0.687621 0.716974 0.756552 0.804933 0.860374 0.920878 0.984262 
1.03572 1.08184 1.12503 1.1637 1.19646 1.2221 1.23971 1.24862 1.24853 1.23944 1.22167 1.19589 1.16303 1.12429 1.08107 1.03494 0.987574 0.940675 0.895938 0.854972 0.819252 0.79006 0.768444 0.755178 0.750738 0.755285 0.768659 0.790383 0.81968 0.855501 0.896557 0.941369 0.988322 
1.0219 1.05023 1.07676 1.10052 1.12064 1.1364 1.14721 1.15268 1.15261 1.147 1.13607 1.12022 1.10001 1.0762 1.04965 1.02133 0.992255 0.963481 0.936045 0.910933 0.889047 0.871168 0.857933 0.849812 0.847093 0.849875 0.858063 0.871369 0.889323 0.911286 0.93647 0.96397 0.992794 
1.00728 1.01679 1.02571 1.0337 1.04047 1.04577 1.04939 1.05122 1.05117 1.04926 1.04555 1.04019 1.03338 1.02536 1.01644 1.00694 0.997209 0.987601 0.978461 0.970114 0.962856 0.956939 0.952565 0.949882 0.948983 0.949898 0.952602 0.957007 0.962965 0.970273 0.978672 0.987864 0.997517 
0.992389 0.982745 0.973731 0.965667 0.958838 0.953487 0.949802 0.947915 0.947893 0.949739 0.953388 0.958714 0.96553 0.973593 0.982621 0.99229 1.00226 1.01216 1.02165 1.03037 1.03801 1.04427 1.04892 1.05177 1.05272 1.05174 1.04886 1.0442 1.03794 1.03033 1.02164 1.01219 1.00232 
0.977769 0.949317 0.922701 0.898877 0.878701 0.862897 0.852035 0.846505 0.846508 0.852043 0.862915 0.878732 0.898928 0.922777 0.949425 0.977912 1.00722 1.03628 1.06406 1.08953 1.11179 1.13001 1.14351 1.1518 1.15457 1.15171 1.14335 1.1298 1.11155 1.08929 1.06382 1.03607 1.00704 
0.963951 0.917721 0.874468 0.835749 0.802957 0.777275 0.759629 0.750657 0.750683 0.759706 0.777403 0.803136 0.835979 0.874749 0.918051 0.964325 1.01191 1.05908 1.10414 1.14546 1.18153 1.21104 1.23292 1.24634 1.25083 1.24621 1.23267 1.2107 1.18112 1.14501 1.10369 1.05864 1.01149 
0.951433 0.889101 0.830777 0.778565 0.734346 0.699716 0.675926 0.663836 0.663883 0.676066 0.699946 0.734662 0.77896 0.831246 0.889633 0.95202 1.01616 1.07973 1.14045 1.19612 1.24471 1.28446 1.31391 1.33199 1.33803 1.33182 1.31358 1.28399 1.24415 1.19549 1.1398 1.07908 1.01553 
0.940669 0.864489 0.793207 0.729392 0.675347 0.633023 0.60395 0.589179 0.589244 0.604145 0.633342 0.675782 0.729932 0.79384 0.865201 0.941443 1.01982 1.0975 1.17169 1.23969 1.29904 1.34759 1.38357 1.40565 1.41302 1.40543 1.38316 1.34702 1.29835 1.23891 1.17086 1.09667 1.019 
0.932047 0.844774 0.763112 0.690004 0.628088 0.579602 0.546298 0.529381 0.529462 0.54654 0.579996 0.628624 0.690666 0.763884 0.845637 0.932978 1.02276 1.11174 1.19671 1.2746 1.34257 1.39817 1.43937 1.46465 1.4731 1.46441 1.4389 1.39752 1.34177 1.27369 1.19574 1.11075 1.02178 
0.925876 0.830667 0.741577 0.661821 0.594276 0.541382 0.505052 0.4866 0.486694 0.50533 0.541835 0.59489 0.662579 0.742458 0.831648 0.926931 1.02487 1.12194 1.21463 1.29958 1.37373 1.43437 1.47929 1.50687 1.51608 1.5066 1.47878 1.43365 1.37284 1.29857 1.21354 1.12083 1.02377 
0.922377 0.822673 0.729379 0.645859 0.575128 0.519741 0.481699 0.46238 0.462482 0.482002 0.520235 0.575798 0.646685 0.730338 0.823739 0.92352 1.02608 1.12773 1.22479 1.31375 1.39138 1.45487 1.50191 1.53078 1.54042 1.5305 1.50137 1.45411 1.39043 1.31267 1.22363 1.12653 1.0249 
0.921675 0.821082 0.726956 0.642694 0.571336 0.515458 0.477082 0.457595 0.457702 0.477399 0.515975 0.572035 0.643557 0.727958 0.822194 0.922868 1.02635 1.1289 1.22683 1.31657 1.3949 1.45895 1.5064 1.53552 1.54525 1.53523 1.50584 1.45816 1.39392 1.31546 1.22562 1.12766 1.02511 
0.923795 0.825948 0.734395 0.652438 0.583034 0.528689 0.491367 0.472417 0.472523 0.491684 0.529207 0.583737 0.653306 0.735403 0.827069 0.924997 1.02566 1.12541 1.22066 1.30796 1.38414 1.44644 1.49259 1.52091 1.53037 1.52063 1.49204 1.44565 1.38316 1.30684 1.21945 1.12416 1.02441 
0.928659 0.837096 0.751427 0.67474 0.609802 0.558956 0.524039 0.506311 0.506413 0.524343 0.559455 0.61048 0.675579 0.752404 0.838185 0.929828 1.02403 1.11738 1.20652 1.28822 1.35951 1.41781 1.46099 1.48749 1.49634 1.48721 1.46046 1.41704 1.35856 1.28713 1.20534 1.11617 1.02281 
0.936092 0.854124 0.777438 0.708796 0.650674 0.605167 0.573918 0.558053 0.558147 0.574197 0.605625 0.651299 0.709572 0.778346 0.855139 0.937185 1.02152 1.10511 1.18491 1.25806 1.32189 1.37408 1.41274 1.43646 1.44437 1.4362 1.41223 1.37336 1.32099 1.25703 1.18381 1.10396 1.02038 
0.945827 0.87642 0.81149 0.753377 0.704174 0.665654 0.639204 0.625777 0.625857 0.639444 0.66605 0.704718 0.754057 0.81229 0.87732 0.946801 1.01823 1.08902 1.15661 1.21856 1.27262 1.31682 1.34956 1.36965 1.37635 1.36942 1.34911 1.31618 1.27182 1.21764 1.15562 1.08799 1.01721 
0.957513 0.903177 0.852354 0.806873 0.768371 0.738232 0.717538 0.707034 0.707098 0.717728 0.738547 0.768808 0.807426 0.853012 0.903925 0.95833 1.01426 1.0697 1.12264 1.17116 1.2135 1.24812 1.27376 1.28948 1.29472 1.28928 1.27337 1.24757 1.21281 1.17037 1.12179 1.06883 1.0134 
0.97073 0.933432 0.898554 0.867352 0.840945 0.820279 0.806091 0.79889 0.798933 0.806221 0.820497 0.841254 0.867752 0.89904 0.933993 0.971353 1.00977 1.04785 1.08423 1.11756 1.14666 1.17044 1.18806 1.19885 1.20244 1.19869 1.18775  1.17 1.14611 1.11694 1.08356 1.04717 1.00911 
0.984999 0.966089 0.948421 0.932629 0.919274 0.908829 0.901661 0.898023 0.898043 0.901723 0.908938 0.919438 0.932854 0.94871 0.966439 0.985403 1.00492 1.02427 1.04276 1.05971 1.07451 1.0866 1.09556 1.10104 1.10285 1.10092 1.09533 1.08629 1.07412 1.05927 1.0423 1.0238 1.00447 
0.999804 0.999967 1.00015 1.00034 1.00052 1.00068 1.00079 1.00085 1.00085 1.00078 1.00067 1.00053 1.00038 1.00023 1.00009 0.999971 0.999874 0.999799 0.999742 0.9997 0.999667 0.999638 0.99961 0.99958 0.999547 0.999512 0.999481 0.999457 0.999448 0.999459 0.999498 0.999567 0.999669 
1.01461 1.03384 1.05187 1.06804 1.08176 1.09251 1.0999 1.10366 1.10363 1.09982 1.09239 1.08161 1.06789 1.05173 1.03373 1.01453 0.994831 0.975331 0.956732 0.939699 0.924842 0.912692 0.903685 0.898144 0.896268 0.898126 0.903651 0.912648 0.924796 0.939661 0.956712 0.975338 0.994871 
1.02888 1.06649 1.10171 1.13328 1.16004 1.18101 1.19541 1.20272 1.20267 1.19525 1.18076 1.15973 1.13294 1.10136 1.06615 1.02856 0.98997 0.951753 0.915286 0.881881 0.85274 0.828912 0.811254 0.800403 0.796752 0.800432 0.811312 0.829002 0.852864 0.882042 0.915486 0.951993 0.99025 
1.0421 1.09672 1.14787 1.1937 1.23254 1.26296 1.28386 1.29446 1.29439 1.28363 1.26261 1.23209 1.19319 1.14733 1.09617 1.04156 0.985469 0.929917 0.876904 0.828339 0.78597 0.751327 0.725658 0.709891 0.704595 0.709964 0.725803 0.751542 0.786253 0.828685 0.877311 0.930377 0.985974 
1.05379 1.12346 1.18869 1.24712 1.29663 1.33542 1.36205 1.37557 1.37547 1.36177 1.33497 1.29605 1.24645 1.18796 1.12271 1.05305 0.98149 0.910615 0.842975 0.781007 0.726946 0.682742 0.649991 0.629878 0.62313 0.629991 0.650214 0.683069 0.727371 0.78152 0.843566 0.911272 0.982197 
1.06353 1.14572 1.22268 1.29161 1.35001 1.39575 1.42717 1.44311 1.443 1.42683 1.39522 1.34932 1.2908 1.2218 1.14481 1.06261 0.978177 0.894542 0.814722 0.741594 0.677797 0.625633 0.586987 0.563256 0.555298 0.563403 0.587277 0.626058 0.678345 0.742252 0.815473 0.895368 0.979059 
1.07097 1.16272 1.24862 1.32556 1.39074 1.44179 1.47686 1.49465 1.49452 1.47648 1.4412 1.38996 1.32465 1.24762 1.16167 1.06991 0.975649 0.882277 0.793165 0.711523 0.640298 0.582062 0.538918 0.512428 0.503549 0.512603 0.539263 0.582566 0.640946 0.712298 0.794046 0.883242 0.976672 
1.07584 1.17384 1.26558 1.34775 1.41736 1.47188 1.50932 1.52831 1.52818 1.50891 1.47123 1.41652 1.34676 1.26449 1.17269 1.07468 0.973995 0.874263 0.779079 0.691877 0.615801 0.5536 0.50752 0.479228 0.469749 0.479424 0.507905 0.554162 0.616524 0.692739 0.780058 0.875332 0.975125 
1.07797 1.17867 1.27295 1.35738 1.4289 1.48492 1.52338 1.5429 1.54276 1.52296 1.48424 1.42802 1.35633 1.27179 1.17746 1.07674 0.973272 0.870785 0.772973 0.683363 0.605189 0.541272 0.493924 0.464855 0.455117 0.465064 0.494335 0.541873 0.60596 0.684282 0.774015 0.871922 0.974472 
];
figure;
plot3(X,Y,U,'.b','MarkerSize',5);
title('N = 32, uy');
P = [-0.142859 -0.129957 -0.108684 -0.082088 -0.0539822 -0.0283972 -0.0090037 0.00141511 0.00136398 -0.00914951 -0.0286164 -0.0542438 -0.0823565 -0.108925 -0.130143 -0.14297 -0.145571 -0.137571 -0.120115 -0.0957005 -0.0678213 -0.0404677 -0.0175555 -0.00236519 0.00292835 -0.00243255 -0.0176797 -0.0406291 -0.0679944 -0.0958572 -0.120229 -0.13762 -0.145541 
-0.129897 -0.116993 -0.0957198 -0.069125 -0.041022 -0.0154414 0.00394671 0.0143597 0.0143028 0.00378375 -0.0156886 -0.0413215 -0.0694398 -0.0960136 -0.117236 -0.130067 -0.132669 -0.124668 -0.107209 -0.08279 -0.0549044 -0.0275436 -0.00462431 0.0105724 0.015871 0.0105138 -0.00473089 -0.0276788 -0.055043 -0.0829045 -0.107274 -0.124663 -0.132582 
-0.108577 -0.0956694 -0.0743929 -0.047797 -0.0196948 0.00588337 0.0252678 0.0356766 0.0356153 0.0250918 0.00561485 -0.0200231 -0.048147 -0.0747267 -0.0959546 -0.10879 -0.111395 -0.103395 -0.0859346 -0.0615113 -0.0336203 -0.00625343 0.0166717 0.0318733 0.0371753 0.03182 0.0165759 -0.0063721 -0.0337364 -0.0615974 -0.0859655 -0.103352 -0.111266 
-0.0819496 -0.0690361 -0.0477548 -0.0211559 0.0069473 0.0325247 0.0519072 0.0623135 0.0622496 0.0517234 0.0322432 0.00660127 -0.0215277 -0.0481134 -0.0693474 -0.0821887 -0.0847978 -0.0768002 -0.0593396 -0.0349141 -0.0070194 0.0203518 0.043281 0.0584856 0.0637893 0.0584342 0.0431891 0.0202397 -0.00712563 -0.0349865 -0.0593528 -0.0767352 -0.0846448 
-0.0538254 -0.040905 -0.0196179 0.00698512 0.0350905 0.0606685 0.0800505 0.0904559 0.090391 0.0798637 0.0603819 0.0347372 0.00660412 -0.019987 -0.0412275 -0.0540751 -0.0566897 -0.048696 -0.0312372 -0.00681156 0.0210848 0.0484584 0.07139 0.086596 0.0918999 0.0865436 0.0712966 0.048345 0.0209784 -0.0068823 -0.0312462 -0.0486241 -0.0565277 
-0.0282303 -0.0153026 0.00599053 0.0325978 0.0607057 0.0862847 0.105667 0.116072 0.116008 0.105481 0.0859985 0.0603524 0.0322162 0.00562021 -0.0156264 -0.0284809 -0.0311019 -0.0231134 -0.00565805 0.018766 0.0466624 0.0740369 0.0969694 0.112176 0.117479 0.112121 0.0968716 0.0739179 0.0465502 0.0186903 -0.00567059 -0.0230434 -0.0309401 
-0.00882868 0.00410582 0.0254044 0.0520154 0.0801253 0.105705 0.125088 0.135493 0.135429 0.124903 0.105422 0.0797749 0.0516365 0.0250364 0.00378392 -0.00907733 -0.0117053 -0.00372284 0.013728 0.0381493 0.0660445 0.093419 0.116352 0.131558 0.136861 0.131501 0.11625 0.0932945 0.0659265 0.0380682 0.013711 -0.00365609 -0.0115459 
0.00160161 0.0145419 0.0358447 0.0624581 0.0905688 0.116148 0.13553 0.145936 0.145873 0.135348 0.115867 0.0902206 0.0620807 0.0354771 0.0142194 0.00135166 -0.00128317 0.00669291 0.0241387 0.0485566 0.0764502 0.103824 0.126758 0.141964 0.147266 0.141906 0.126653 0.103698 0.0763304 0.0484746 0.0241218 0.00676067 -0.0011223 
0.00156725 0.0145119 0.0358174 0.0624316 0.0905418 0.11612 0.135501 0.145906 0.145843 0.135319 0.115839 0.0901931 0.0620523 0.035446 0.0141838 0.00131023 -0.00133109 0.00663876 0.0240794 0.0484938 0.0763857 0.103759 0.126693 0.141901 0.147203 0.141843 0.12659 0.103635 0.0762697 0.0484173 0.0240694 0.00671428 -0.00116239 
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];
figure;
plot3(X,Y,P,'.b','MarkerSize',5);
title('N = 32, p');
XY = [
0 0
0.0153846 0.0153846
0.0307692 0.0307692
0.0461538 0.0461538
0.0615385 0.0615385
0.0769231 0.0769231
0.0923077 0.0923077
0.107692 0.107692
0.123077 0.123077
0.138462 0.138462
0.153846 0.153846
0.169231 0.169231
0.184615 0.184615
0.2 0.2
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0.230769 0.230769
0.246154 0.246154
0.261538 0.261538
0.276923 0.276923
0.292308 0.292308
0.307692 0.307692
0.323077 0.323077
0.338462 0.338462
0.353846 0.353846
0.369231 0.369231
0.384615 0.384615
0.4 0.4
0.415385 0.415385
0.430769 0.430769
0.446154 0.446154
0.461538 0.461538
0.476923 0.476923
0.492308 0.492308
0.507692 0.507692
0.523077 0.523077
0.538462 0.538462
0.553846 0.553846
0.569231 0.569231
0.584615 0.584615
0.6 0.6
0.615385 0.615385
0.630769 0.630769
0.646154 0.646154
0.661538 0.661538
0.676923 0.676923
0.692308 0.692308
0.707692 0.707692
0.723077 0.723077
0.738462 0.738462
0.753846 0.753846
0.769231 0.769231
0.784615 0.784615
0.8 0.8
0.815385 0.815385
0.830769 0.830769
0.846154 0.846154
0.861538 0.861538
0.876923 0.876923
0.892308 0.892308
0.907692 0.907692
0.923077 0.923077
0.938462 0.938462
0.953846 0.953846
0.969231 0.969231
0.984615 0.984615
];
[X, Y] = meshgrid(XY(:,1), XY(:,2));
U = [0.947031 0.947778 0.949012 0.950722 0.952892 0.955502 0.958528 0.96194 0.965708 0.969796 0.974166 0.978777 0.983586 0.988548 0.993617 0.998746 1.00389 1.00899 1.01401 1.0189 1.02361 1.0281 1.03233 1.03626 1.03985 1.04307 1.04588 1.04827 1.0502 1.05167 1.05265 1.05315 1.05314 1.05264 1.05165 1.05018 1.04824 1.04584 1.04302 1.0398 1.03621 1.03227 1.02804 1.02354 1.01883 1.01394 1.00891 1.00381 0.998669 0.99354 0.988472 0.983512 0.978705 0.974097 0.969731 0.965648 0.961885 0.958478 0.955459 0.952855 0.950692 0.948989 0.947762 0.947023 0.946779 
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0.794271 0.797172 0.801966 0.808609 0.817039 0.827178 0.83893 0.852185 0.866821 0.8827 0.899675 0.917586 0.936266 0.955542 0.975232 0.995154 1.01512 1.03495 1.05445 1.07344 1.09174 1.10919 1.12562 1.14088 1.15482 1.16731 1.17825 1.18751 1.19503 1.20073 1.20455 1.20647 1.20645 1.20451 1.20066 1.19493 1.18739 1.17809 1.16713 1.15462 1.14065 1.12538 1.10893 1.09147 1.07315 1.05415 1.03465 1.01482 0.994847 0.974928 0.955242 0.935974 0.917303 0.899405 0.882447 0.866585 0.85197 0.838736 0.827008 0.816896 0.808493 0.801878 0.797112 0.794241 0.793291 
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0.701236 0.705449 0.712411 0.722059 0.734301 0.749025 0.766091 0.785342 0.806597 0.829657 0.854308 0.880319 0.907448 0.935441 0.964036 0.992968 1.02196 1.05076 1.07907 1.10665 1.13324 1.15858 1.18244 1.20459 1.22484 1.24298 1.25886 1.27232 1.28324 1.29151 1.29706 1.29984 1.29982 1.297 1.29141 1.28309 1.27213 1.25864 1.24272 1.22454 1.20427 1.18208 1.1582 1.13284 1.10624 1.07864 1.05032 1.02152 0.992521 0.963592 0.935004 0.907022 0.879909 0.853916 0.829288 0.806254 0.785028 0.76581 0.748779 0.734093 0.721889 0.712283 0.705362 0.701193 0.699813 
0.658691 0.663504 0.671458 0.682479 0.696465 0.713286 0.732783 0.754775 0.779056 0.805401 0.833562 0.863278 0.89427 0.926249 0.958917 0.991968 1.02509 1.05799 1.09034 1.12184 1.15221 1.18116 1.20842 1.23373 1.25686 1.27759 1.29573 1.3111 1.32358 1.33303 1.33937 1.34254 1.34252 1.3393 1.33291 1.32341 1.31089 1.29547 1.27729 1.25652 1.23336 1.20801 1.18073 1.15176 1.12137 1.08984 1.05748 1.02458 0.991457 0.958409 0.925749 0.893783 0.862808 0.833114 0.804979 0.778664 0.754416 0.732461 0.713004 0.696227 0.682286 0.671311 0.663405 0.658642 0.657066 
0.619333 0.6247 0.633572 0.645864 0.661463 0.680223 0.701969 0.726497 0.753579 0.782961 0.81437 0.847513 0.882079 0.917746 0.954181 0.991044 1.02799 1.06468 1.10076 1.1359 1.16977 1.20206 1.23246 1.26068 1.28648 1.3096 1.32983 1.34698 1.36089 1.37144 1.37851 1.38205 1.38202 1.37843 1.3713 1.36071 1.34674 1.32954 1.30927 1.2861 1.26027 1.232 1.20157 1.16926 1.13536 1.10021 1.06411 1.02742 0.990473 0.953614 0.917188 0.881535 0.846988 0.81387 0.78249 0.753141 0.726097 0.70161 0.679909 0.661197 0.645648 0.633408 0.62459 0.619278 0.61752 
0.583529 0.589401 0.599107 0.612556 0.629622 0.650147 0.673938 0.700773 0.730402 0.762548 0.796912 0.833171 0.870989 0.910011 0.949873 0.990203 1.03062 1.07076 1.11024 1.14868 1.18574 1.22106 1.25432 1.28521 1.31343 1.33872 1.36086 1.37962 1.39484 1.40637 1.41411 1.41799 1.41796 1.41402 1.40623 1.39463 1.37936 1.36054 1.33836 1.31302 1.28475 1.25383 1.22053 1.18518 1.1481 1.10963 1.07014  1.03 0.989578 0.949252 0.909399 0.870393 0.832597 0.796364 0.762032 0.729923 0.700335 0.673545 0.649803 0.629331 0.612319 0.598928 0.589281 0.583468 0.581545 
0.551613 0.557935 0.568385 0.582865 0.601239 0.623336 0.648951 0.677843 0.709742 0.744352 0.781349 0.820388 0.861103 0.903116 0.946033 0.989454 1.03297 1.07618 1.11868 1.16008 1.19997 1.23801 1.27381 1.30707 1.33745 1.36468 1.38851 1.40872 1.4251 1.43752 1.44585 1.45002 1.44999 1.44575 1.43736 1.42488 1.40843 1.38817 1.36429 1.337 1.30657 1.27328 1.23743 1.19937 1.15945 1.11804 1.07552 1.0323 0.98878 0.945363 0.902457 0.860461 0.819769 0.780759 0.743796 0.709226 0.67737 0.648527 0.622966 0.600925 0.58261 0.568192 0.557806 0.551548 0.549477 
0.523884 0.530597 0.541693 0.557068 0.576579 0.600043 0.627241 0.65792 0.691793 0.728543 0.767828 0.809281 0.852514 0.897125 0.942696 0.988803 1.03501 1.0809 1.12603 1.16998 1.21234 1.25273 1.29075 1.32606 1.35832 1.38724 1.41254 1.43399 1.45139 1.46458 1.47342 1.47785 1.47782 1.47332 1.46441 1.45116 1.43369 1.41218 1.38682 1.35785 1.32553 1.29018 1.25212 1.2117 1.16931 1.12534 1.08019 1.0343 0.988086 0.941985 0.896425 0.851832 0.808623 0.767201 0.727952 0.691244 0.657418 0.626791 0.599649 0.576245 0.556797 0.541488 0.530459 0.523814 0.521616 
0.5006 0.507641 0.51928 0.535407 0.555872 0.580484 0.609012 0.641191 0.676721 0.715268 0.756475 0.799955 0.845303 0.892095 0.939895 0.988256 1.03673 1.08485 1.13219 1.17829 1.22273 1.26509 1.30497 1.342 1.37585 1.40618 1.43272 1.45522 1.47347 1.4873 1.49658 1.50122 1.50119 1.49647 1.48712 1.47322 1.4549 1.43234 1.40574 1.37535 1.34146 1.30437 1.26445 1.22206 1.17759 1.13147 1.08411 1.03598 0.987504 0.939148 0.89136 0.844587 0.799264 0.755816 0.714648 0.676145 0.640665 0.60854 0.58007 0.555522 0.535123 0.519064 0.507496 0.500527 0.498221 
0.481978 0.489283 0.501355 0.518084 0.539312 0.564841 0.594433 0.627812 0.664667 0.704652 0.747395 0.792496 0.839535 0.888072 0.937655 0.987819 1.0381 1.08802 1.13712 1.18494 1.23104 1.27497 1.31634 1.35476 1.38986 1.42133 1.44886 1.47219 1.49113 1.50547 1.5151 1.51991 1.51988 1.51498 1.50528 1.49087 1.47187 1.44846 1.42087 1.38935 1.35419 1.31572 1.27431 1.23034 1.18421 1.13637 1.08725 1.03732 0.987039 0.936879 0.887309 0.838792 0.791779 0.746711 0.704008 0.664069 0.627266 0.593943 0.564412 0.538948 0.517789 0.501131 0.489132 0.481903 0.479511 
0.468193 0.475692 0.488086 0.50526 0.527053 0.553261 0.583641 0.617909 0.655744 0.696793 0.740673 0.786975 0.835266 0.885094 0.935996 0.987496 1.03911 1.09036 1.14077 1.18986 1.23718 1.28229 1.32476 1.3642 1.40024 1.43254 1.4608 1.48476 1.5042 1.51892 1.5288 1.53375 1.53371 1.52869 1.51873 1.50393 1.48442 1.4604 1.43207 1.39971 1.36361 1.32413 1.28161 1.23647 1.18912  1.14 1.08957 1.03831 0.986694 0.9352 0.884311 0.834502 0.786239 0.739971 0.696132 0.655129 0.617347 0.583138 0.552821 0.526679 0.504957 0.487856 0.475538 0.468116 0.46566 
0.459374 0.466997 0.479596 0.497055 0.519209 0.545853 0.576736 0.611572 0.650035 0.691765 0.736373 0.783442 0.832534 0.883189 0.934935 0.987289 1.03976 1.09186 1.14311 1.19301 1.24112 1.28697 1.33015 1.37024 1.40688 1.43971 1.46844 1.4928 1.51256 1.52753 1.53757 1.5426 1.54256 1.53746 1.52733 1.51229 1.49246 1.46803 1.43923 1.40634 1.36964 1.3295 1.28628 1.24039 1.19225 1.14232 1.09106 1.03895 0.986473 0.934125 0.882392 0.831757 0.782694 0.735659 0.691092 0.64941 0.611001 0.576225 0.545405 0.518829 0.496746 0.479363 0.46684 0.459295 0.456798 
0.455602 0.463278 0.475965 0.493546 0.515855 0.542684 0.573783 0.608862 0.647593 0.689614 0.734533 0.781931 0.831366 0.882374 0.934481 0.9872 1.04004 1.0925 1.1441 1.19436 1.2428 1.28897 1.33245 1.37282 1.40971 1.44278 1.47171 1.49624 1.51613 1.53121 1.54133 1.54639 1.54635 1.54121 1.53101 1.51586 1.49589 1.4713 1.4423 1.40917 1.37222 1.3318 1.28828 1.24207 1.19359 1.14331 1.09169 1.03922 0.986379 0.933665 0.881572 0.830583 0.781177 0.733814 0.688937 0.646964 0.608287 0.573268 0.542233 0.515472 0.493235 0.47573 0.46312 0.455522 0.453008 
0.456912 0.46457 0.477227 0.494765 0.51702 0.543785 0.57481 0.609804 0.648441 0.690361 0.735173 0.782456 0.831771 0.882657 0.934639 0.987231 1.03994 1.09228 1.14376 1.19389 1.24222 1.28828 1.33165 1.37192 1.40873 1.44171 1.47058 1.49504 1.51489 1.52993 1.54002 1.54507 1.54503 1.5399 1.52974 1.51462 1.4947 1.47016 1.44123 1.40819 1.37133 1.331 1.28758 1.24148 1.19313 1.14297 1.09147 1.03912 0.986411 0.933825 0.881856 0.830991 0.781704 0.734455 0.689686 0.647814 0.60923 0.574295 0.543335 0.516638 0.494455 0.476992 0.464412 0.456833 0.454325 
0.463294 0.470861 0.48337 0.500702 0.522695 0.549146 0.579806 0.614389 0.652572 0.694 0.738284 0.785012 0.833748 0.884036 0.935406 0.98738 1.03947 1.0912 1.14207 1.19161 1.23937 1.28489 1.32775 1.36755 1.40392 1.43652 1.46505 1.48923 1.50884 1.5237 1.53368 1.53867 1.53863 1.53356 1.52351 1.50857 1.48889 1.46464 1.43605 1.40339 1.36696 1.32711 1.2842 1.23864 1.19086 1.14129 1.0904 1.03866 0.986571 0.934602 0.883244 0.832977 0.784269 0.737575 0.693332 0.651952 0.613821 0.579297 0.548701 0.522318 0.500395 0.483137 0.470705 0.463215 0.460737 
0.474686 0.482093 0.494336 0.5113 0.532827 0.558716 0.588725 0.622574 0.659947 0.700495 0.743839 0.789575 0.837276 0.886497 0.936777 0.987648 1.03863 1.08926 1.13905 1.18754 1.23429 1.27884 1.32079 1.35975 1.39535 1.42726 1.45517 1.47884 1.49804 1.51259 1.52235 1.52723 1.52719 1.52223 1.5124 1.49778 1.47851 1.45477 1.42679 1.39483 1.35917 1.32017 1.27817 1.23358 1.1868 1.13829 1.08848 1.03784 0.986855 0.93599 0.885722 0.836522 0.788847 0.743145 0.699841 0.659339 0.622018 0.588227 0.55828 0.532457 0.511 0.494108 0.48194 0.474609 0.472184 
0.490983 0.49816 0.510023 0.526461 0.54732 0.572406 0.601484 0.634282 0.670496 0.709786 0.751786 0.796103 0.842324 0.890017 0.938738 0.98803 1.03743 1.08649 1.13474 1.18172 1.22702 1.27019 1.31084 1.34859 1.38308 1.414 1.44105 1.46398 1.48259 1.49668 1.50614 1.51087 1.51084 1.50603 1.4965 1.48233 1.46366 1.44066 1.41355 1.38258 1.34803 1.31023 1.26954 1.22633 1.18101 1.134 1.08573 1.03667 0.987262 0.937975 0.889267 0.841593 0.795398 0.751113 0.709152 0.669907 0.633744 0.601001 0.571983 0.546962 0.52617 0.509803 0.498012 0.490908 0.488558 
0.512032 0.518913 0.530285 0.546043 0.56604 0.590088 0.617963 0.649406 0.684122 0.721787 0.76205 0.804534 0.848844 0.894565 0.94127 0.988524 1.03588 1.08291 1.12916 1.17421 1.21763 1.25902 1.29798 1.33417 1.36724 1.39688 1.42281 1.4448 1.46263 1.47614 1.48521 1.48974 1.48971 1.4851 1.47597 1.46238 1.44449 1.42244 1.39645 1.36675 1.33364 1.2974 1.25839 1.21697 1.17352 1.12845 1.08219 1.03515 0.987788 0.940539 0.893845 0.848143 0.803858 0.761405 0.721179 0.683557 0.64889 0.617501 0.589683 0.565696 0.545764 0.530074 0.518771 0.511961 0.509708 
0.537638 0.544157 0.554933 0.569864 0.588811 0.611597 0.63801 0.667802 0.700696 0.736385 0.774535 0.81479 0.856775 0.900096 0.944351 0.989125 1.034 1.07856 1.12238 1.16507 1.20621 1.24542 1.28235 1.31663 1.34797 1.37605 1.40062 1.42145 1.43835 1.45115 1.45975 1.46404 1.46401 1.45964 1.45099 1.43812 1.42116 1.40027 1.37564 1.34751 1.31613 1.28179 1.24483 1.20558 1.16442 1.12171 1.07787 1.03331 0.988428 0.943658 0.899415 0.85611 0.81415 0.773924 0.73581 0.700162 0.667313 0.637571 0.611213 0.588485 0.5696 0.554732 0.544022 0.53757 0.535435 
0.56756 0.573657 0.583736 0.5977 0.615421 0.636733 0.661436 0.6893 0.720066 0.753445 0.789126 0.826776 0.866043 0.906561 0.947951 0.989827 1.0318 1.07347 1.11446 1.15438 1.19286 1.22954 1.26407 1.29614 1.32545 1.35171 1.37469 1.39418 1.40998 1.42195 1.42999 1.43401 1.43398 1.4299 1.4218 1.40976 1.3939 1.37436 1.35133 1.32502 1.29567 1.26356 1.22899 1.19228 1.15377 1.11383 1.07283 1.03115 0.989176 0.947304 0.905923 0.865422 0.826176 0.788554 0.752906 0.719566 0.688843 0.661026 0.636374 0.615117 0.597453 0.583548 0.573531 0.567496 0.5655 
0.601519 0.607138 0.616425 0.629293 0.645622 0.66526 0.688023 0.7137 0.742049 0.772806 0.805685 0.840378 0.876562 0.913898 0.952037 0.990625 1.0293 1.0677 1.10547 1.14226 1.17771 1.21151 1.24333 1.27288 1.29989 1.32409 1.34527 1.36322 1.37778 1.38882 1.39622 1.39993 1.3999 1.39613 1.38867 1.37758 1.36297 1.34496 1.32374 1.29949 1.27245 1.24286 1.211 1.17718 1.1417 1.10489 1.06711 1.0287 0.990025 0.951441 0.91331 0.875989 0.839826 0.805158 0.77231 0.741588 0.713278 0.687645 0.664929 0.645341 0.629065 0.616252 0.607022 0.601461 0.599621 
0.6392 0.644287 0.652696 0.664347 0.679132 0.696913 0.717524 0.740772 0.76644 0.794289 0.824059 0.855471 0.888233 0.922038 0.956572 0.99151 1.02653 1.0613 1.0955 1.1288 1.16091 1.19151 1.22032 1.24708 1.27153 1.29344 1.31261 1.32887 1.34205 1.35205 1.35875 1.36211 1.36208 1.35867 1.35192 1.34188 1.32864 1.31234 1.29312 1.27117 1.24668 1.21989 1.19105 1.16042 1.1283 1.09497 1.06076 1.02599 0.990967 0.956031 0.921507 0.887715 0.854971 0.823582 0.79384 0.766022 0.74039 0.717181 0.696613 0.678878 0.66414 0.652539 0.644182 0.639147 0.637481 
0.680248 0.684757 0.692209 0.702535 0.715637 0.731395 0.749661 0.770264 0.793012 0.817693 0.844075 0.871914 0.900948 0.930907 0.961511 0.992475 1.02351 1.05432 1.08463 1.11415 1.1426 1.16972 1.19525 1.21896 1.24063 1.26005 1.27704 1.29145 1.30314 1.31199 1.31793 1.32091 1.32088 1.31786 1.31188 1.30298 1.29125 1.2768 1.25977 1.24031 1.21861 1.19487 1.16931 1.14217 1.1137 1.08417 1.05385 1.02303 0.991993 0.961032 0.930436 0.900488 0.87147 0.843652 0.817294 0.792642 0.769925 0.749357 0.731129 0.715412 0.702351 0.69207 0.684664 0.680201 0.678725 
0.724282 0.72817 0.734596 0.7435 0.754798 0.768386 0.784136 0.801902 0.821517 0.842798 0.865548 0.889552 0.914588 0.940421 0.96681 0.99351 1.02027 1.04684 1.07297 1.09842 1.12296 1.14634 1.16836 1.18881 1.20749 1.22424 1.23889 1.25131 1.26139 1.26902 1.27415 1.27671 1.27669 1.27409 1.26892 1.26125 1.25114 1.23868 1.22399 1.20722 1.1885 1.16803 1.14599 1.12259 1.09804 1.07257 1.04643 1.01986 0.993094 0.966397 0.940014 0.914191 0.88917 0.865183 0.842454 0.821197 0.801609 0.783874 0.768156 0.754603 0.743341 0.734476 0.72809 0.724242 0.722969 
0.770891 0.774121 0.779461 0.786859 0.796248 0.807539 0.820626 0.835389 0.851688 0.869372 0.888275 0.908222 0.929025 0.950491 0.97242 0.994605 1.01684 1.03892 1.06064 1.08178 1.10217 1.1216 1.1399 1.15689 1.17241 1.18633 1.1985 1.20883 1.2172 1.22354 1.2278 1.22993 1.22991 1.22775 1.22346 1.21708 1.20868 1.19833 1.18613 1.17218 1.15664 1.13962 1.12131 1.10186 1.08146 1.0603 1.03858 1.0165 0.99426 0.972076 0.950153 0.928696 0.907904 0.887972 0.869086 0.851422 0.835145 0.820408 0.807348 0.796086 0.786728 0.779361 0.774054 0.770857 0.769799 
0.819639 0.822182 0.826385 0.83221 0.8396 0.848489 0.858792 0.870413 0.883244 0.897165 0.912047 0.927749 0.944126 0.961024 0.978287 0.995752 1.01326 1.03064 1.04773 1.06438 1.08043 1.09573 1.11013 1.1235 1.13572 1.14668 1.15626 1.16439 1.17098 1.17598 1.17933 1.181 1.18099 1.17929 1.17591 1.17089 1.16428 1.15613 1.14652 1.13555 1.12331 1.10991 1.0955 1.08019 1.06413 1.04747 1.03037 1.01298 0.995479 0.978016 0.960757 0.943866 0.927498 0.911807 0.896939 0.883034 0.870221 0.858619 0.848338 0.839472 0.832105 0.826306 0.822129 0.819612 0.818779 
0.87007 0.871902 0.874931 0.879126 0.884451 0.890854 0.898276 0.906647 0.915891 0.925919 0.936639 0.947951 0.959748 0.971921 0.984356 0.996938 1.00955 1.02207 1.03438 1.04638 1.05794 1.06896 1.07933 1.08897 1.09777 1.10566 1.11257 1.11842 1.12317 1.12677 1.12918 1.13039 1.13038 1.12915 1.12672 1.1231 1.11834 1.11247 1.10555 1.09764 1.08882 1.07918 1.06879 1.05776 1.04619 1.03419 1.02187 1.00935 0.996741 0.98416 0.971728 0.95956 0.947769 0.936465 0.925755 0.915738 0.906508 0.898151 0.890744 0.884358 0.879051 0.874873 0.871864 0.870051 0.869451 
0.921715 0.922819 0.924644 0.927172 0.93038 0.934238 0.938709 0.943753 0.949322 0.955365 0.961823 0.968638 0.975746 0.98308 0.990572 0.998152 1.00575 1.01329 1.02071 1.02794 1.0349 1.04154 1.04779 1.0536 1.0589 1.06366 1.06782 1.07134 1.0742 1.07637 1.07783 1.07855 1.07855 1.07781 1.07634 1.07417 1.07129 1.06776 1.06359 1.05883 1.05351 1.0477 1.04144 1.0348 1.02783 1.0206 1.01318 1.00563 0.998033 0.990453 0.982963 0.975632 0.968528 0.961717 0.955265 0.949229 0.943668 0.938633 0.93417 0.930323 0.927125 0.924609 0.922796 0.921703 0.921342 
0.974091 0.974457 0.975061 0.975897 0.976959 0.978236 0.979716 0.981385 0.983228 0.985227 0.987364 0.989619 0.991971 0.994398 0.996877 0.999385 1.0019 1.00439 1.00685 1.00924 1.01154 1.01374 1.01581 1.01773 1.01949 1.02106 1.02244 1.0236 1.02455 1.02527 1.02575 1.02599 1.02599 1.02574 1.02526 1.02454 1.02359 1.02242 1.02104 1.01946 1.0177 1.01578 1.01371 1.01151 1.0092 1.00681 1.00435 1.00186 0.999344 0.996836 0.994357 0.991931 0.98958 0.987327 0.985192 0.983195 0.981354 0.979688 0.978212 0.976939 0.975881 0.975048 0.974448 0.974087 0.973968 
1.02671 1.02633 1.02571 1.02485 1.02375 1.02244 1.02091 1.01919 1.01729 1.01523 1.01302 1.0107 1.00827 1.00577 1.00321 1.00062 0.99803 0.995455 0.992922 0.990456 0.988079 0.985812 0.983679 0.981697 0.979887 0.978264 0.976844 0.975641 0.974665 0.973925 0.973428 0.97318 0.973182 0.973434 0.973935 0.974678 0.975658 0.976865 0.978288 0.979913 0.981727 0.98371 0.985846 0.988114 0.990492 0.99296 0.995493 0.998068 1.00066 1.00325 1.0058 1.00831 1.01073 1.01305 1.01526 1.01732 1.01921 1.02093 1.02246 1.02377 1.02486 1.02572 1.02634 1.02671 1.02684 
1.07908 1.07796 1.07612 1.07357 1.07033 1.06643 1.06191 1.05682 1.05119 1.04509 1.03856 1.03168 1.02449 1.01708 1.00951 1.00186 0.99418 0.986558 0.979062 0.971761 0.964724 0.958016 0.9517 0.945835 0.940476 0.935673 0.93147 0.927907 0.925017 0.922827 0.921357 0.920622 0.920628 0.921375 0.922855 0.925056 0.927957 0.93153 0.935742 0.940555 0.945922 0.951794 0.958116 0.964829 0.971871 0.979175 0.986673 0.994296 1.00197 1.00963 1.0172 1.0246 1.03178 1.03866 1.04518 1.05128 1.0569 1.06198 1.06649 1.07038 1.07361 1.07615 1.07799 1.07909 1.07945 
1.13071 1.12887 1.12582 1.1216 1.11624 1.1098 1.10234 1.09391 1.08461 1.07452 1.06374 1.05236 1.04049 1.02824 1.01573 1.00307 0.990384 0.977787 0.965397 0.95333 0.941699 0.930612 0.920173 0.910479 0.901621 0.893682 0.886735 0.880846 0.876069 0.872449 0.870021 0.868805 0.868815 0.870049 0.872496 0.876134 0.880929 0.886835 0.893797 0.901751 0.910622 0.920328 0.930778 0.941873 0.953512 0.965584 0.977978 0.990577 1.00326 1.01592 1.02843 1.04067 1.05253 1.06391 1.07468 1.08476 1.09405 1.10245 1.10991 1.11633 1.12167 1.12588 1.1289 1.13073 1.13133 
1.18112 1.17857 1.17435 1.1685 1.16108 1.15215 1.1418 1.13013 1.11725 1.10327 1.08832 1.07255 1.05611 1.03913 1.0218 1.00426 0.986678 0.969223 0.952055 0.935334 0.919218 0.903855 0.889391 0.875959 0.863685 0.852684 0.843058 0.834898 0.828279 0.823263 0.819897 0.818213 0.818227 0.819937 0.823328 0.828369 0.835012 0.843196 0.852843 0.863865 0.876157 0.889606 0.904086 0.91946 0.935587 0.952316 0.969489 0.986947 1.00453 1.02207 1.0394 1.05636 1.0728 1.08856 1.10349 1.11745 1.13032 1.14197 1.1523 1.1612 1.1686 1.17442 1.17862 1.18115 1.18198 
1.22984 1.2266 1.22124 1.21382 1.2044 1.19308 1.17995 1.16514 1.14879 1.13104 1.11208 1.09207 1.0712 1.04966 1.02766 1.00541 0.983097 0.960946 0.939161 0.917943 0.897491 0.877997 0.859641 0.842596 0.827021 0.813061 0.800846 0.790491 0.782092 0.775727 0.771456 0.769319 0.769336 0.771506 0.775809 0.782206 0.790636 0.801021 0.813264 0.82725 0.842849 0.859915 0.878289 0.8978 0.918264 0.939492 0.961285 0.983439 1.00575 1.028  1.05 1.07152 1.09238 1.11238 1.13133 1.14905 1.16537 1.18016 1.19326 1.20456 1.21395 1.22134 1.22666 1.22987 1.23093 
1.27641 1.27252 1.26608 1.25715 1.24582 1.2322 1.21641 1.1986 1.17894 1.1576 1.13479 1.11073 1.08563 1.05973 1.03327 1.0065 0.979673 0.953035 0.926834 0.901317 0.876722 0.853277 0.831202 0.810704 0.791973 0.775184 0.760494 0.74804 0.737939 0.730285 0.725148 0.722578 0.722598 0.725208 0.730384 0.738077 0.748215 0.760704 0.775428 0.792248 0.811008 0.831532 0.853629 0.877093 0.901705 0.927234 0.953442 0.980086 1.00691 1.03368 1.06013 1.08602 1.1111 1.13515 1.15794 1.17925 1.19889 1.21667 1.23243 1.24601 1.2573 1.26619 1.2726 1.27645 1.27773 
1.32041 1.31589 1.30842 1.29808 1.28495 1.26916 1.25085 1.23021 1.20741 1.18268 1.15625 1.12835 1.09925 1.06923 1.03857 1.00754 0.97644 0.945561 0.915191 0.885613 0.857103 0.829927 0.80434 0.780579 0.758866 0.739405 0.722378 0.707942 0.696233 0.68736 0.681407 0.678428 0.678451 0.681476 0.687476 0.696393 0.708145 0.722622 0.739688 0.759186 0.780931 0.804722 0.830336 0.857534 0.886063 0.915655 0.946035 0.976918 1.00802 1.03904 1.0697 1.09971 1.12879 1.15666 1.18308 1.20778 1.23054 1.25115 1.26942 1.28517 1.29826 1.30856 1.31598 1.32045 1.32193 
1.36141 1.35631 1.34789 1.33622 1.32141 1.3036 1.28296 1.25967 1.23396 1.20606 1.17624 1.14477 1.11196 1.07809 1.0435 1.0085 0.973426 0.938596 0.90434 0.870977 0.838819 0.808166 0.779303 0.752502 0.728011 0.70606 0.686853 0.670571 0.657363 0.647355 0.64064 0.63728 0.637306 0.640718 0.647486 0.657544 0.6708 0.687129 0.70638 0.728372 0.7529 0.779735 0.808627 0.839306 0.871485 0.904864 0.939131 0.973967 1.00905 1.04404 1.07862 1.11247 1.14527 1.17671 1.2065 1.23437 1.26005 1.28329 1.3039 1.32166 1.33642 1.34805 1.35642 1.36146 1.36313 
1.39904 1.39341 1.38411 1.37123 1.35488 1.33521 1.31242 1.2867 1.25832 1.22751 1.19459 1.15985 1.12361 1.08623 1.04803 1.00939 0.97066 0.932205 0.894382 0.857546 0.822039 0.788195 0.756328 0.726736 0.699696 0.675459 0.654253 0.636275 0.621693 0.610643 0.603228 0.599518 0.599547 0.603315 0.610787 0.621892 0.636528 0.654558 0.675812 0.700094 0.727176 0.756805 0.788705 0.822577 0.858107 0.894961 0.932796 0.971258 1.00999 1.04863 1.08681 1.12418 1.1604 1.19511 1.22801 1.25877 1.28712 1.31279 1.33554 1.35515 1.37145 1.38428 1.39353 1.3991 1.40094 
1.43294 1.42684 1.41675 1.40277 1.38503 1.36369 1.33896 1.31106 1.28026 1.24684 1.21112 1.17343 1.13412 1.09355 1.05211 1.01019 0.968169 0.926446 0.88541 0.845444 0.806922 0.770202 0.735627 0.703521 0.674184 0.647888 0.62488 0.605375 0.589554 0.577565 0.569521 0.565495 0.565527 0.569615 0.577722 0.589771 0.60565 0.625211 0.648272 0.674616 0.703999 0.736145 0.770755 0.807506 0.846053 0.886038 0.927088 0.968818 1.01084 1.05276 1.09419 1.13473 1.17402 1.21169 1.24738 1.28076 1.31151 1.33936 1.36404 1.38533 1.40301 1.41693 1.42696 1.433 1.435 
1.4628 1.45628 1.44549 1.43055 1.41158 1.38877 1.36234 1.33252 1.29959 1.26387 1.22568 1.18539 1.14337   1.1 1.05571 1.01089 0.965974 0.921374 0.877508 0.834786 0.793606 0.754354 0.717395 0.683075 0.651714 0.623605 0.59901 0.57816 0.561248 0.548432 0.539833 0.53553 0.535563 0.539934 0.548599 0.561479 0.578454 0.599364 0.624015 0.652177 0.683586 0.717949 0.754946 0.794231 0.835437 0.87818 0.92206 0.966668 1.01159 1.0564 1.10068 1.14403 1.18603 1.22629 1.26444 1.30012 1.333 1.36277 1.38915 1.4119 1.43081 1.44569 1.45641 1.46287 1.465 
1.48834 1.48145 1.47007 1.4543 1.43429 1.41023 1.38233 1.35087 1.31612 1.27843 1.23814 1.19562 1.15128 1.10552 1.05878 1.01149 0.964097 0.917036 0.870749 0.82567 0.782218 0.740799 0.701801 0.665587 0.632496 0.602836 0.576884 0.554883 0.537037 0.523515 0.514441 0.509901 0.509936 0.514547 0.523691 0.537282 0.555193 0.577258 0.603269 0.632984 0.666127 0.702386 0.741425 0.782878 0.826358 0.871459 0.917761 0.96483 1.01223 1.05951 1.10624 1.15198 1.19629 1.23878 1.27903 1.31668 1.35138 1.38279 1.41063 1.43463 1.45458 1.47028 1.48159 1.48841 1.49066 
1.50932 1.50214 1.49027 1.47382 1.45295 1.42785 1.39876 1.36594 1.3297 1.29039 1.24837 1.20403 1.15778 1.11006 1.06131 1.01199 0.962555 0.913472 0.865197 0.818181 0.772863 0.729665 0.688992 0.651222 0.616709 0.585775 0.558708 0.535762 0.51715 0.503046 0.493583 0.488847 0.488884 0.493694 0.50323 0.517405 0.536086 0.559098 0.586227 0.617219 0.651785 0.689602 0.730318 0.773551 0.818899 0.865938 0.914229 0.963321 1.01275 1.06207 1.11081 1.15851 1.20473 1.24904 1.29102 1.33029 1.36647 1.39923 1.42827 1.45331 1.47411 1.49049 1.50228 1.50939 1.51174 
1.52554 1.51813 1.50588 1.48891 1.46738 1.44148 1.41146 1.3776 1.34021 1.29964 1.25628 1.21052 1.1628 1.11356 1.06326 1.01237 0.961363 0.910716 0.860904 0.81239 0.765628 0.721055 0.679085 0.640113 0.604501 0.572581 0.544652 0.520975 0.50177 0.487217 0.477452 0.472566 0.472605 0.477567 0.487407 0.502034 0.52131 0.545055 0.573048 0.605027 0.640694 0.679716 0.721729 0.766339 0.813132 0.861669 0.911498 0.962153 1.01316 1.06405 1.11434 1.16356 1.21125 1.25697 1.30029 1.34081 1.37815 1.41195 1.44191 1.46774 1.48921 1.50611 1.51828 1.52562 1.52804 
1.53686 1.52929 1.51678 1.49944 1.47744 1.45099 1.42032 1.38573 1.34753 1.30609 1.2618 1.21506 1.16631 1.11601 1.06462 1.01264 0.960531 0.908794 0.857909 0.808351 0.760582 0.715048 0.672176 0.632364 0.595985 0.563378 0.534848 0.510661 0.491042 0.476176 0.466201 0.46121 0.461249 0.466318 0.476371 0.491312 0.511003 0.535259 0.563855 0.596523 0.632958 0.67282 0.715737 0.761309 0.809109 0.858691 0.909593 0.961339 1.01345 1.06543 1.1168 1.16708 1.2158 1.2625 1.30676 1.34815 1.38629 1.42082 1.45143 1.47782 1.49975 1.51701 1.52944 1.53694 1.53942 
1.54316 1.5355 1.52285 1.50531 1.48305 1.45628 1.42525 1.39025 1.35161 1.30969 1.26487 1.21758 1.16826 1.11737 1.06538 1.01278 0.960068 0.907723 0.856241 0.8061 0.757771 0.711703 0.668327 0.628047 0.591241 0.558251 0.529386 0.504915 0.485067 0.470026 0.459933 0.454884 0.454923 0.460052 0.470222 0.485339 0.505261 0.529803 0.558734 0.591786 0.628649 0.668979 0.7124 0.758506 0.806867 0.857032 0.908531 0.960885 1.0136 1.0662 1.11817 1.16904 1.21833 1.26559 1.31036 1.35224 1.39083 1.42576 1.45673 1.48343 1.50561 1.52308 1.53566 1.54324 1.54575 
1.54439 1.53672 1.52403 1.50645 1.48414 1.45732 1.42622 1.39114 1.35241 1.31039 1.26547 1.21808 1.16864 1.11764 1.06553 1.01281 0.959977 0.907514 0.855914 0.80566 0.757221 0.711048 0.667574 0.627203 0.590314 0.557249 0.528319 0.503792 0.483898 0.468824 0.458708 0.453647 0.453687 0.458827 0.469021 0.484172 0.504139 0.528736 0.557733 0.59086 0.627806 0.668228 0.711748 0.757959 0.806429 0.856708 0.908324 0.960796 1.01363 1.06635 1.11844 1.16942 1.21883 1.26619 1.31106 1.35304 1.39171 1.42673 1.45776 1.48452 1.50676 1.52427 1.53688 1.54447 1.54699 
1.54054 1.53292 1.52032 1.50287 1.48072 1.45408 1.4232 1.38837 1.34992 1.30819 1.26359 1.21653 1.16745 1.1168 1.06507 1.01272 0.960259 0.908168 0.856933 0.807035 0.758938 0.713092 0.669925 0.62984 0.593211 0.560381 0.531655 0.507302 0.487549 0.472581 0.462537 0.457511 0.457551 0.462655 0.472776 0.48782 0.507646 0.532069 0.560861 0.593754 0.630439 0.670575 0.713786 0.75967 0.807798 0.857721 0.908972 0.961073 1.01354 1.06588 1.1176 1.16822 1.21728 1.26431 1.30886 1.35054 1.38894 1.42371 1.45453 1.4811 1.50318 1.52056 1.53308 1.54062 1.54312 
1.53164 1.52415 1.51176 1.49459 1.4728 1.4466 1.41624 1.38198 1.34416 1.30312 1.25925 1.21297 1.16469 1.11488 1.064 1.01251 0.960913 0.909679 0.859288 0.810211 0.762906 0.717814 0.675358 0.635933 0.599907 0.567617 0.539364 0.515411 0.495984 0.481262 0.471384 0.466441 0.46648 0.4715 0.481455 0.496251 0.515751 0.539772 0.56809 0.60044 0.636522 0.675997 0.718497 0.763626 0.810962 0.860063 0.91047 0.961713 1.01331 1.06479 1.11566 1.16545 1.2137 1.25995 1.30378 1.34477 1.38254 1.41674 1.44704 1.47318 1.49489 1.51199 1.5243 1.53172 1.53418 
1.51778 1.51048 1.49841 1.48169 1.46048 1.43496 1.40538 1.37202 1.33518 1.29522 1.25249 1.20741 1.1604 1.11188 1.06233 1.01219 0.961932 0.912033 0.862956 0.815158 0.769087 0.725171 0.683822 0.645425 0.610338 0.57889 0.551373 0.528046 0.509125 0.494787 0.485166 0.480352 0.48039 0.485279 0.494974 0.509385 0.528376 0.551771 0.57935 0.610858 0.645998 0.684444 0.725836 0.769788 0.81589 0.863711 0.912804 0.962711 1.01297 1.0631 1.11265 1.16114 1.20813 1.25318 1.29586 1.33578 1.37256 1.40587 1.43539 1.46084 1.48199 1.49864 1.51063 1.51786 1.52025 
1.49908 1.49205 1.48042 1.4643 1.44385 1.41925 1.39074 1.35859 1.32308 1.28456 1.24338 1.19992 1.15461 1.10784 1.06007 1.01174 0.963305 0.915209 0.867904 0.821832 0.777424 0.735094 0.695238 0.658227 0.624407 0.594094 0.567572 0.545086 0.526848 0.513028 0.503755 0.499115 0.499151 0.503864 0.513209 0.527099 0.545405 0.567955 0.594539 0.624908 0.65878 0.695838 0.735735 0.7781 0.822537 0.868631 0.915951 0.964057 1.0125 1.06082 1.10858 1.15532 1.20061 1.24403 1.28517 1.32365 1.35911 1.39121 1.41966 1.4442 1.46458 1.48063 1.49219 1.49916 1.50146 
1.47573 1.46902 1.45793 1.44257 1.42308 1.39963 1.37246 1.3418 1.30796 1.27124 1.23199 1.19057 1.14737 1.1028 1.05726 1.01119 0.965022 0.919176 0.874084 0.830169 0.787839 0.74749 0.709499 0.67422 0.641983 0.613089 0.587807 0.566374 0.54899 0.535816 0.526977 0.522554 0.522589 0.527081 0.535989 0.549229 0.566678 0.588173 0.613512 0.642461 0.674747 0.710071 0.748101 0.788484 0.830841 0.874778 0.919884 0.965737 1.01191 1.05797 1.1035 1.14805 1.19122 1.23261 1.27183 1.3085 1.3423 1.3729 1.40002 1.42341 1.44284 1.45814 1.46916 1.4758 1.47799 
1.44793 1.44161 1.43117 1.41671 1.39835 1.37628 1.35069 1.32183 1.28996 1.25539 1.21843 1.17943 1.13876 1.09679 1.05392 1.01054 0.967065 0.923897 0.881441 0.840091 0.800235 0.762244 0.726472 0.693255 0.662902 0.635696 0.611891 0.591711 0.575342 0.562938 0.554615 0.550451 0.550484 0.554714 0.563101 0.575567 0.591997 0.612235 0.636095 0.663351 0.693751 0.727011 0.762819 0.800842 0.840724 0.882093 0.924564 0.967738 1.01121 1.05459 1.09745 1.1394 1.18005 1.21902 1.25594 1.29048 1.3223 1.35111 1.37665 1.39867 1.41696 1.43137 1.44174 1.44799 1.45006 
1.41595 1.41008 1.40039 1.38696 1.36991 1.34941 1.32565 1.29885 1.26926 1.23715 1.20283 1.16662 1.12885 1.08988 1.05007 1.00979 0.969415 0.92933 0.889904 0.851507 0.814496 0.779217 0.746 0.715154 0.686967 0.661704 0.639599 0.620859 0.605659 0.594141 0.586412 0.582545 0.582576 0.586504 0.594292 0.605868 0.621125 0.639919 0.662074 0.687385 0.715615 0.7465 0.779751 0.815059 0.852094 0.89051 0.929948 0.97004 1.01041 1.05069 1.09049 1.12944 1.16719 1.20338 1.23767 1.26974 1.29929 1.32604 1.34976 1.3702 1.38719 1.40057 1.4102 1.41601 1.41793 
1.38008 1.37472 1.36587 1.35359 1.33802 1.31929 1.29757 1.27308 1.24604 1.21671 1.18534 1.15225 1.11774 1.08213 1.04575 1.00894 0.972051 0.935421 0.899395 0.864309 0.830489 0.798252 0.767898 0.739712 0.713956 0.690871 0.670672 0.653547 0.639658 0.629133 0.622071 0.618537 0.618565 0.622154 0.629271 0.639849 0.65379 0.670964 0.691209 0.714338 0.740133 0.768355 0.79874 0.831004 0.864846 0.899949 0.935987 0.972622 1.00951 1.04632 1.08268 1.11828 1.15278 1.18584 1.21717 1.24648 1.27348 1.29793 1.3196 1.33828 1.35381 1.36603 1.37483 1.38014 1.38189 
1.34067 1.33587 1.32793 1.31693 1.30297 1.28618 1.26672 1.24477 1.22053 1.19423 1.16612 1.13646 1.10553 1.07361 1.041 1.00801 0.974947 0.942116 0.909826 0.878377 0.848064 0.81917 0.791964 0.7667 0.743615 0.722923 0.704819 0.68947 0.677021 0.667588 0.661258 0.65809 0.658115 0.661332 0.667711 0.677193 0.689688 0.705081 0.723227 0.743957 0.767078 0.792374 0.819608 0.848526 0.878859 0.910322 0.942623 0.97546 1.00853 1.04151 1.07411 1.10602 1.13693 1.16657 1.19465 1.22092 1.24512 1.26704 1.28646 1.3032 1.31712 1.32807 1.33596 1.34072 1.34229 
1.29808 1.29387 1.28693 1.2773 1.26509 1.2504 1.23337 1.21416 1.19296 1.16995 1.14535 1.1194 1.09233 1.0644 1.03587 1.00701 0.978078 0.949352 0.921098 0.893582 0.867058 0.841777 0.817972 0.795867 0.775668 0.757563 0.741722 0.728293 0.7174 0.709146 0.703607 0.700836 0.700858 0.703673 0.709254 0.71755 0.728484 0.741952 0.757829 0.775968 0.796198 0.818331 0.84216 0.867463 0.894003 0.921533 0.949795 0.978526 1.00746 1.03632 1.06484 1.09276 1.11981 1.14574 1.17032 1.1933 1.21447 1.23365 1.25064 1.26529 1.27747 1.28705 1.29396 1.29812 1.2995 
1.2527 1.24914 1.24325 1.23509 1.22473 1.21228 1.19784 1.18156 1.16358 1.14408 1.12322 1.10122 1.07828 1.0546 1.03041 1.00594 0.981413 0.95706 0.933107 0.909779 0.887294 0.865861 0.84568 0.826939 0.809815 0.794467 0.781037 0.769652 0.760417 0.75342 0.748724 0.746375 0.746393 0.74878 0.753512 0.760545 0.769814 0.781232 0.794693 0.81007 0.827221 0.845984 0.866186 0.887637 0.910137 0.933476 0.957436 0.981794 1.00632 1.03079 1.05497 1.07864 1.10157 1.12356 1.14439 1.16387 1.18182 1.19808 1.21248 1.22491 1.23523 1.24336 1.24921 1.25274 1.2539 
1.20496 1.20207 1.1973 1.19068 1.18228 1.17218 1.16047 1.14726 1.13268 1.11686 1.09995 1.0821 1.06349 1.04428 1.02467 1.00482 0.984922 0.965169 0.945741 0.92682 0.908582 0.891197 0.874828 0.859628 0.845738 0.833289 0.822396 0.813162 0.805671 0.799996 0.796187 0.794282 0.794297 0.796233 0.800071 0.805775 0.813294 0.822555 0.833473 0.845945 0.859856 0.875076 0.891461 0.90886 0.92711 0.946041 0.965475 0.985231 1.00513 1.02497 1.04458 1.06378 1.08238 1.10021 1.11711 1.13291 1.14748 1.16066 1.17235 1.18242 1.19079 1.19738 1.20213 1.20499 1.20594 
1.15531 1.15312 1.14951 1.14449 1.13812 1.13047 1.1216 1.11159 1.10054 1.08855 1.07573 1.06221 1.04811 1.03355 1.01869 1.00365 0.988572 0.973604 0.958882 0.944543 0.930723 0.917549 0.905145 0.893627 0.883102 0.873668 0.865414 0.858416 0.85274 0.848439 0.845553 0.844109 0.844121 0.845588 0.848496 0.852819 0.858516 0.865535 0.873808 0.883259 0.893801 0.905334 0.917751 0.930935 0.944764 0.959109 0.973836 0.988807 1.00388 1.01892 1.03378 1.04833 1.06243 1.07594 1.08874 1.10072 1.11175 1.12174 1.1306 1.13823 1.14458 1.14957 1.15317 1.15534 1.15605 
1.10422 1.10275 1.10032 1.09695 1.09268 1.08754 1.08159 1.07488 1.06746 1.05942 1.05082 1.04174 1.03228 1.02251 1.01254 1.00244 0.992329 0.982285 0.972406 0.962785 0.953511 0.944671 0.936348 0.928619 0.921557 0.915227 0.909688 0.904992 0.901184 0.898298 0.896361 0.895393 0.895401 0.896385 0.898337 0.901238 0.905061 0.90977 0.915321 0.921664 0.928737 0.936476 0.944808 0.953655 0.962934 0.97256 0.982442 0.992487 1.0026 1.01269 1.02267 1.03243 1.04189 1.05095 1.05954 1.06758 1.07498 1.08169 1.08763 1.09275 1.09701 1.10036 1.10278 1.10423 1.10471 
1.05214 1.05141 1.05019 1.04851 1.04637 1.0438 1.04082 1.03746 1.03375 1.02973 1.02542 1.02088 1.01615 1.01126 1.00627 1.00122 0.996157 0.991132 0.986188 0.981374 0.976734 0.97231 0.968146 0.964278 0.960744 0.957577 0.954805 0.952456 0.95055 0.949106 0.948137 0.947653 0.947657 0.94815 0.949126 0.950578 0.952491 0.954848 0.957626 0.960799 0.964339 0.968211 0.97238 0.976807 0.98145 0.986267 0.991211 0.996238 1.0013 1.00635 1.01134 1.01622 1.02096 1.02549 1.02979 1.03381 1.03752 1.04087 1.04384 1.04641 1.04854 1.05022 1.05142 1.05215 1.05239 
0.999585 0.999591 0.999601 0.999614 0.99963 0.99965 0.999674 0.9997 0.999729 0.99976 0.999794 0.999829 0.999866 0.999904 0.999943 0.999982 1.00002 1.00006 1.0001 1.00014 1.00017 1.00021 1.00024 1.00027 1.0003 1.00032 1.00034 1.00036 1.00038 1.00039 1.0004 1.0004 1.0004 1.0004 1.00039 1.00038 1.00037 1.00035 1.00033 1.0003 1.00027 1.00024 1.00021 1.00018 1.00014 1.0001 1.00006 1.00002 0.999984 0.999944 0.999905 0.999867 0.999829 0.999794 0.99976 0.999728 0.999699 0.999673 0.99965 0.99963 0.999613 0.9996 0.999591 0.999585 0.999583 
];
figure;
plot3(X,Y,U,'.b','MarkerSize',5);
title('N = 64, ux');
U = [1.05296 1.10502 1.1561 1.20572 1.25342 1.29876 1.34131 1.38067 1.41648 1.44839 1.47613 1.49941 1.51803 1.53182 1.54064 1.54441 1.5431 1.53672 1.52533 1.50903 1.48798 1.46237 1.43244 1.39848 1.3608 1.31975 1.27571 1.2291 1.18035 1.12992 1.07827 1.02589 0.973277 0.920909 0.869279 0.81887 0.770152 0.723581 0.67959 0.63859 0.600965 0.567065 0.537208 0.511671 0.490694 0.474472 0.463157 0.456853 0.455621 0.459472 0.468369 0.48223 0.500925 0.524279 0.552076 0.584054 0.619916 0.659326 0.701917 0.747292 0.795025 0.844673 0.895771 0.947842 1.0004 
1.05221 1.10354 1.1539 1.20282 1.24985 1.29455 1.3365 1.3753 1.4106 1.44207 1.46941 1.49237 1.51073 1.52432 1.53302 1.53674 1.53544 1.52915 1.51792 1.50185 1.4811 1.45585 1.42635 1.39286 1.35571 1.31524 1.27182 1.22587 1.17781 1.12808 1.07717 1.02553 0.973654 0.922024 0.871122 0.821424 0.773393 0.727478 0.684107 0.643686 0.606591 0.57317 0.543733 0.518557 0.497876 0.481882 0.470726 0.464512 0.463297 0.467094 0.475865 0.489531 0.507962 0.530987 0.558392 0.589919 0.625275 0.66413 0.70612 0.750855 0.797916 0.846863 0.897241 0.948578 1.0004 
1.05098 1.10109 1.15026 1.19803 1.24394 1.28759 1.32854 1.36643 1.4009 1.43162 1.45832 1.48073 1.49866 1.51193 1.52042 1.52405 1.52279 1.51664 1.50568 1.48999 1.46972 1.44507 1.41627 1.38358 1.3473 1.30779 1.2654 1.22053 1.1736 1.12506 1.07534 1.02493 0.974276 0.923867 0.874168 0.825645 0.778749 0.73392 0.691574 0.652109 0.615891 0.583259 0.554519 0.529938 0.509745 0.49413 0.483238 0.47717 0.475984 0.479691 0.488255 0.501598 0.519593 0.542074 0.568831 0.599613 0.634133 0.672069 0.713067 0.756744 0.802693 0.850483 0.89967 0.949794 1.00039 
1.04927 1.0977 1.14522 1.19138 1.23576 1.27794 1.31752 1.35414 1.38745 1.41714 1.44294 1.46461 1.48193 1.49476 1.50296 1.50647 1.50525 1.49931 1.48871 1.47355 1.45397 1.43014 1.4023 1.37071 1.33565 1.29746 1.25649 1.21313 1.16778 1.12086 1.07282 1.02409 0.975139 0.926421 0.878389 0.831494 0.786172 0.742846 0.701921 0.663779 0.628777 0.59724 0.569464 0.545707 0.526192 0.511101 0.500574 0.49471 0.493564 0.497146 0.505423 0.518318 0.53571 0.557437 0.583295 0.613045 0.646407 0.683071 0.722693 0.764905 0.809312 0.855499 0.903036 0.951478 1.00037 
1.0471 1.09339 1.13882 1.18295 1.22538 1.2657 1.30353 1.33854 1.37038 1.39877 1.42343 1.44414 1.4607 1.47296 1.48081 1.48416 1.483 1.47732 1.46719 1.45269 1.43397 1.4112 1.38458 1.35438 1.32087 1.28436 1.2452 1.20374 1.16039 1.11554 1.06961 1.02303 0.976234 0.929661 0.883746 0.838916 0.79559 0.754173 0.715051 0.678589 0.645128 0.614981 0.588428 0.565718 0.547063 0.532636 0.522573 0.516968 0.515872 0.519297 0.527209 0.539536 0.556161 0.576931 0.601651 0.63009 0.661982 0.697031 0.734908 0.775261 0.817711 0.861864 0.907307 0.953615 1.00036 
1.04449 1.08822 1.13113 1.17281 1.21289 1.25097 1.28671 1.31978 1.34986 1.37667 1.39997 1.41953 1.43517 1.44675 1.45416 1.45733 1.45623 1.45087 1.4413 1.42761 1.40992 1.38841 1.36327 1.33474 1.30309 1.2686 1.23161 1.19245 1.1515 1.10913 1.06575 1.02175 0.97755 0.933559 0.890188 0.847842 0.806917 0.767795 0.730841 0.6964 0.664794 0.636317 0.611236 0.589784 0.572163 0.558536 0.54903 0.543736 0.542701 0.545935 0.553409 0.565053 0.580757 0.600376 0.623726 0.650588 0.680714 0.71382 0.749598 0.787714 0.827813 0.869519 0.912443 0.956186 1.00034 
1.04146 1.08222 1.12221 1.16106 1.19841 1.23391 1.26722 1.29803 1.32607 1.35106 1.37277 1.391 1.40558 1.41637 1.42328 1.42623 1.42521 1.42021 1.41129 1.39853 1.38205 1.362 1.33857 1.31198 1.28248 1.25033 1.21586 1.17937 1.1412 1.10171 1.06128 1.02027 0.979076 0.938076 0.897655 0.858189 0.820047 0.783585 0.749144 0.717045 0.687588 0.661048 0.637673 0.61768 0.601257 0.588557 0.579698 0.574763 0.573799 0.576813 0.583779 0.594631 0.609267 0.627552 0.649313 0.674349 0.702426 0.733281 0.766626 0.80215 0.839522 0.878392 0.918397 0.959165 1.00031 
1.03805 1.07545 1.11215 1.14781 1.18208 1.21466 1.24523 1.27351 1.29923 1.32217 1.34209 1.35882 1.3722 1.38211 1.38844 1.39115 1.39021 1.38563 1.37744 1.36573 1.3506 1.3322 1.3107 1.2863 1.25923 1.22973 1.19809 1.1646 1.12958 1.09334 1.05623 1.0186 0.980798 0.943172 0.906077 0.869859 0.834856 0.801396 0.769789 0.740333 0.7133 0.688944 0.667493 0.649146 0.634075 0.62242 0.61429 0.609761 0.608876 0.611643 0.618035 0.627994 0.641425 0.658205 0.678176 0.701151 0.726917 0.755232 0.785833 0.818433 0.852729 0.8884 0.925113 0.962525 1.00029 
1.03428 1.06798 1.10105 1.13317 1.16405 1.1934 1.22094 1.24642 1.2696 1.29027 1.30822 1.32329 1.33535 1.34427 1.34998 1.35242 1.35157 1.34744 1.34007 1.32952 1.31589 1.29931 1.27994 1.25795 1.23356 1.20698 1.17848 1.1483 1.11675 1.0841 1.05067 1.01676 0.982698 0.948798 0.915376 0.882745 0.851208 0.821061 0.792584 0.766044 0.741689 0.719745 0.700418 0.683887 0.670309 0.659808 0.652483 0.648403 0.647606 0.650098 0.655858 0.66483 0.676932 0.692049 0.710043 0.730743 0.753957 0.779469 0.807039 0.836411 0.867311 0.89945 0.932528 0.966236 1.00026 
1.03019 1.05987 1.089 1.11729 1.14449 1.17034 1.1946 1.21704 1.23746 1.25566 1.27147 1.28474 1.29536 1.30322 1.30825 1.3104 1.30965 1.30601 1.29952 1.29023 1.27822 1.26362 1.24656 1.22719 1.20571 1.1823 1.1572 1.13062 1.10282 1.07407 1.04462 1.01476 0.98476 0.954902 0.925466 0.896725 0.868949 0.842397 0.817316 0.79394 0.772489 0.753162 0.73614 0.721581 0.709621 0.700372 0.693921 0.690328 0.689625 0.691821 0.696893 0.704796 0.715454 0.728769 0.744617 0.762849 0.783295 0.805764 0.830047 0.855917 0.883132 0.911439 0.940572 0.970261 1.00023 
1.02582 1.05121 1.07612 1.10032 1.12358 1.14569 1.16644 1.18563 1.20309 1.21866 1.23218 1.24354 1.25262 1.25934 1.26364 1.26548 1.26484 1.26173 1.25617 1.24823 1.23796 1.22547 1.21088 1.19432 1.17594 1.15592 1.13445 1.11172 1.08794 1.06335 1.03816 1.01262 0.986964 0.961428 0.936251 0.91167 0.887914 0.865204 0.843753 0.823761 0.805414 0.788884 0.774325 0.761873 0.751645 0.743735 0.738217 0.735144 0.734543 0.736421 0.740759 0.747518 0.756633 0.768021 0.781575 0.797169 0.814656 0.833873 0.854642 0.876768 0.900044 0.924254 0.949172 0.974564 1.00019 
1.02121 1.04207 1.06253 1.08241 1.10152 1.11968 1.13672 1.15249 1.16683 1.17962 1.19073 1.20006 1.20752 1.21304 1.21657 1.21808 1.21756 1.215 1.21044 1.20391 1.19547 1.18522 1.17323 1.15962 1.14453 1.12808 1.11044 1.09177 1.07224 1.05204 1.03135 1.01037 0.98929 0.968313 0.947631 0.927439 0.907924 0.88927 0.871649 0.855226 0.840155 0.826577 0.814618 0.804389 0.795987 0.78949 0.784957 0.782433 0.781939 0.783482 0.787045 0.792597 0.800085 0.80944 0.820573 0.833382 0.847747 0.863533 0.880593 0.898769 0.91789 0.937777 0.958246 0.979104 1.00016 
1.0164 1.03253 1.04835 1.06373 1.0785 1.09255 1.10573 1.11792 1.12902 1.1389 1.1475 1.15471 1.16048 1.16475 1.16748 1.16865 1.16824 1.16627 1.16274 1.15769 1.15116 1.14323 1.13396 1.12344 1.11176 1.09905 1.0854 1.07097 1.05586 1.04024 1.02424 1.00802 0.991716 0.975494 0.959501 0.943886 0.928795 0.914369 0.900743 0.888043 0.876389 0.865889 0.856641 0.848732 0.842235 0.83721 0.833705 0.831753 0.831372 0.832564 0.83532 0.839613 0.845403 0.852637 0.861247 0.871152 0.88226 0.894467 0.90766 0.921715 0.936501 0.951881 0.967709 0.98384 1.00012 
1.01144 1.02269 1.03373 1.04445 1.05476 1.06456 1.07375 1.08226 1.08999 1.09689 1.10288 1.10792 1.11194 1.11492 1.11683 1.11764 1.11736 1.11598 1.11352 1.10999 1.10544 1.09991 1.09344 1.0861 1.07796 1.06909 1.05957 1.0495 1.03896 1.02807 1.01691 1.00559 0.994219 0.982904 0.971748 0.960857 0.950331 0.940268 0.930764 0.921906 0.913777 0.906454 0.900004 0.894487 0.889955 0.886451 0.884006 0.882645 0.882378 0.88321 0.885132 0.888126 0.892165 0.897211 0.903216 0.910124 0.917872 0.926387 0.935589 0.945392 0.955706 0.966433 0.977474 0.988726 1.00008 
1.00637 1.01264 1.01879 1.02476 1.0305 1.03596 1.04108 1.04582 1.05013 1.05397 1.05731 1.06012 1.06236 1.06402 1.06508 1.06553 1.06538 1.06461 1.06323 1.06127 1.05874 1.05565 1.05205 1.04796 1.04343 1.03848 1.03318 1.02757 1.0217 1.01563 1.00941 1.00311 0.996776 0.990473 0.984259 0.978193 0.97233 0.966725 0.961431 0.956498 0.951971 0.947892 0.944299 0.941227 0.938703 0.936752 0.93539 0.934632 0.934484 0.934947 0.936017 0.937685 0.939934 0.942744 0.946088 0.949936 0.954251 0.958993 0.964119 0.969579 0.975324 0.9813 0.98745 0.993717 1.00004 
1.00124 1.00247 1.00367 1.00484 1.00596 1.00703 1.00803 1.00896 1.0098 1.01055 1.01121 1.01175 1.01219 1.01252 1.01273 1.01281 1.01278 1.01263 1.01236 1.01198 1.01148 1.01088 1.01017 1.00937 1.00849 1.00752 1.00648 1.00538 1.00424 1.00305 1.00183 1.0006 0.999364 0.998132 0.996918 0.995732 0.994587 0.993493 0.992459 0.991496 0.990612 0.989816 0.989115 0.988516 0.988024 0.987643 0.987377 0.987229 0.9872 0.987291 0.987499 0.987825 0.988263 0.988811 0.989464 0.990215 0.991057 0.991983 0.992984 0.99405 0.995173 0.99634 0.997542 0.998767     1 
0.9961 0.992273 0.988518 0.98487 0.981363 0.978031 0.974904 0.972011 0.969379 0.967033 0.964995 0.963283 0.961915 0.960901 0.960253 0.959975 0.960072 0.96054 0.961377 0.962575 0.964122 0.966003 0.968203 0.970698 0.973468 0.976485 0.979722 0.983148 0.986732 0.990439 0.994236 0.998087 1.00196 1.00581 1.0096 1.01331 1.0169 1.02032 1.02356 1.02657 1.02934 1.03184 1.03403 1.03591 1.03746 1.03865 1.03948 1.03995 1.04004 1.03975 1.0391 1.03808 1.0367 1.03498 1.03294 1.03059 1.02795 1.02505 1.02191 1.01858 1.01507 1.01142 1.00766 1.00383 0.999964 
0.990996 0.982151 0.973474 0.965044 0.95694 0.949239 0.942011 0.935325 0.929243 0.923821 0.91911 0.915155 0.911992 0.90965 0.908151 0.90751 0.907733 0.908817 0.910752 0.91352 0.917095 0.921445 0.926528 0.932296 0.938697 0.945671 0.953151 0.961069 0.969351 0.977919 0.986693 0.995591 1.00453 1.01343 1.0222 1.03077 1.03905 1.04696 1.05443 1.0614 1.0678 1.07356 1.07863 1.08297 1.08654 1.0893 1.09122 1.09229 1.0925 1.09184 1.09033 1.08798 1.0848 1.08083 1.0761 1.07067 1.06458 1.05788 1.05064 1.04293 1.03482 1.02638 1.0177 1.00885 0.999925 
0.985976 0.972197 0.958677 0.945544 0.932919 0.920921 0.90966 0.899244 0.889767 0.881321 0.873982 0.867819 0.862891 0.859242 0.856908 0.855909 0.856256 0.857945 0.860959 0.865272 0.870843 0.87762 0.885539 0.894527 0.904499 0.915363 0.927018 0.939354 0.952256 0.965604 0.979273 0.993136 1.00706 1.02092 1.03459 1.04793 1.06083 1.07316 1.0848 1.09566 1.10562 1.11459 1.1225 1.12926 1.13481 1.13911 1.1421 1.14377 1.1441 1.14308 1.14072 1.13705 1.1321 1.12592 1.11856 1.1101 1.1006 1.09017 1.07889 1.06688 1.05425 1.0411 1.02758 1.0138 0.999886 
0.981086 0.962502 0.944267 0.926553 0.909524 0.893341 0.878153 0.864103 0.851321 0.839928 0.830029 0.821717 0.81507 0.810149 0.807 0.805653 0.806121 0.808399 0.812466 0.818283 0.825797 0.834937 0.845619 0.857742 0.871193 0.885846 0.901566 0.918204 0.935606 0.95361 0.972047 0.990745 1.00953 1.02823 1.04666 1.06465 1.08205 1.09868 1.11438 1.12902 1.14246 1.15456 1.16522 1.17434 1.18183 1.18762 1.19166 1.19391 1.19435 1.19298 1.1898 1.18485 1.17817 1.16984 1.15991 1.14849 1.13569 1.12162 1.10641 1.09021 1.07317 1.05544 1.0372 1.01861 0.999848 
0.976374 0.953156 0.930377 0.908247 0.886974 0.866757 0.847783 0.830231 0.814264 0.80003 0.787664 0.77728 0.768976 0.762828 0.758895 0.757212 0.757797 0.760642 0.765723 0.77299 0.782377 0.793796 0.80714 0.822285 0.839089 0.857395 0.877033 0.897818 0.919558 0.942049 0.965082 0.98844 1.01191 1.03526 1.05829 1.08077 1.1025 1.12327 1.14289 1.16118 1.17796 1.19308 1.2064 1.21779 1.22715 1.23438 1.23943 1.24224 1.24279 1.24107 1.2371 1.23092 1.22258 1.21217 1.19977 1.1855 1.16951 1.15193 1.13293 1.1127 1.09141 1.06926 1.04647 1.02325 0.999811 
0.971881 0.944249 0.917137 0.890798 0.86548 0.841417 0.818835 0.797944 0.77894 0.762 0.747281 0.734923 0.725039 0.717722 0.71304 0.711038 0.711734 0.715121 0.721167 0.729817 0.74099 0.75458 0.770462 0.788487 0.808487 0.830275 0.853648 0.878387 0.904261 0.93103 0.958442 0.986243 1.01417 1.04197 1.06938 1.09613 1.12199 1.14672 1.17007 1.19183 1.21181 1.2298 1.24565 1.25921 1.27035 1.27896 1.28496 1.28831 1.28896 1.28692 1.2822 1.27484 1.26491 1.25251 1.23776 1.22078 1.20174 1.18082 1.15821 1.13413 1.10879 1.08244 1.05531 1.02767 0.999777 
0.967652 0.935862 0.90467 0.874369 0.845241 0.817558 0.791578 0.767544 0.745681 0.726191 0.709259 0.69504 0.683669 0.675251 0.669866 0.667562 0.668362 0.672259 0.679215 0.689167 0.70202 0.717656 0.735928 0.756665 0.779674 0.80474 0.831629 0.86009 0.889858 0.920654 0.952191 0.984175 1.01631 1.04829 1.07981 1.1106 1.14035 1.16879 1.19566 1.22069 1.24367 1.26438 1.28261 1.29821 1.31102 1.32093 1.32784 1.33169 1.33244 1.33009 1.32465 1.31619 1.30477 1.2905 1.27353 1.254 1.2321 1.20803 1.18202 1.15431 1.12516 1.09484 1.06364 1.03184 0.999744 
0.963724 0.928073 0.893094 0.859113 0.826447 0.795402 0.766267 0.739315 0.714796 0.69294 0.67395 0.658005 0.645253 0.635813 0.629773 0.62719 0.628087 0.632457 0.640259 0.651419 0.665833 0.683368 0.703858 0.727114 0.752918 0.781028 0.811183 0.8431 0.876483 0.911019 0.946386 0.982254 1.01829 1.05415 1.08951 1.12403 1.15739 1.18929 1.21942 1.2475 1.27326 1.29648 1.31693 1.33442 1.34879 1.3599 1.36765 1.37197 1.37281 1.37017 1.36408 1.35458 1.34178 1.32578 1.30675 1.28484 1.26028 1.23329 1.20412 1.17305 1.14036 1.10636 1.07137 1.03571 0.999714 
0.960135 0.920956 0.882516 0.845172 0.809274 0.775157 0.743139 0.713519 0.686574 0.662555 0.641686 0.624163 0.610149 0.599775 0.593138 0.590299 0.591285 0.596087 0.604661 0.616925 0.632766 0.652036 0.674554 0.700111 0.728468 0.75936 0.792499 0.827575 0.864262 0.902215 0.941082 0.980499 1.0201 1.05951 1.09837 1.1363 1.17297 1.20802 1.24113 1.27199 1.30031 1.32582 1.34829 1.36751 1.3833 1.39551 1.40403 1.40877 1.4097 1.4068 1.4001 1.38967 1.3756 1.35802 1.3371 1.31303 1.28604 1.25638 1.22432 1.19017 1.15425 1.11688 1.07843 1.03924 0.999686 
0.956918 0.914577 0.873034 0.832677 0.793882 0.757011 0.722409 0.690398 0.661278 0.635321 0.612768 0.593831 0.578686 0.567474 0.560301 0.557233 0.558299 0.563489 0.572754 0.586009 0.603128 0.623953 0.648289 0.675909 0.706554 0.73994 0.775753 0.81366 0.853307 0.894324 0.936327 0.978925 1.02172 1.06431 1.1063 1.1473 1.18693 1.22481 1.26059 1.29394 1.32454 1.35212 1.3764 1.39717 1.41424 1.42743 1.43663 1.44176 1.44276 1.43963 1.43239 1.42112 1.40591 1.38692 1.36431 1.33829 1.30913 1.27707 1.24243 1.20552 1.1667 1.12632 1.08476 1.04241 0.999661 
0.954103 0.908996 0.864739 0.821744 0.780414 0.741133 0.70427 0.670168 0.639145 0.611492 0.587465 0.567291 0.551156 0.539212 0.53157 0.528302 0.529437 0.534966 0.544837 0.558957 0.577196 0.599381 0.625308 0.654732 0.68738 0.722947 0.761101 0.801485 0.843722 0.887419 0.932167 0.977549 1.02314 1.06852 1.11325 1.15693 1.19914 1.2395 1.27762 1.31315 1.34575 1.37512 1.401 1.42312 1.4413 1.45536 1.46517 1.47063 1.47169 1.46836 1.46065 1.44864 1.43244 1.4122 1.38811 1.3604 1.32932 1.29517 1.25827 1.21895 1.17759 1.13457 1.0903 1.04518 0.999639 
0.951717 0.904264 0.857706 0.812475 0.768996 0.727673 0.688893 0.653017 0.620382 0.59129 0.566014 0.544791 0.527817 0.515252 0.507212 0.503774 0.504969 0.510785 0.521169 0.536024 0.555211 0.57855 0.605825 0.636779 0.671125 0.708541 0.748679 0.791163 0.835597 0.881566 0.928641 0.976382 1.02434 1.07208 1.11914 1.16509 1.2095 1.25195 1.29205 1.32943 1.36373 1.39463 1.42185 1.44513 1.46425 1.47904 1.48935 1.4951 1.49622 1.49271 1.4846 1.47196 1.45492 1.43363 1.40829 1.37914 1.34645 1.31052 1.2717 1.23034 1.18683 1.14157 1.09499 1.04753 0.999621 
0.949782 0.900427 0.852001 0.804957 0.759735 0.716755 0.67642 0.639107 0.605162 0.574904 0.548615 0.526541 0.508886 0.495818 0.487456 0.48388 0.485122 0.491172 0.501973 0.517423 0.537379 0.561654 0.590022 0.622217 0.65794 0.696857 0.738603 0.782791 0.829006 0.876818 0.92578 0.975436 1.02532 1.07497 1.12392 1.17171 1.2179 1.26205 1.30376 1.34264 1.37831 1.41045 1.43876 1.46297 1.48286 1.49824 1.50897 1.51495 1.51612 1.51246 1.50403 1.49089 1.47316 1.45102 1.42466 1.39434 1.36034 1.32297 1.28259 1.23957 1.19432 1.14725 1.0988 1.04943 0.999606 
0.948315 0.897518 0.847678 0.79926 0.752717 0.708482 0.666969 0.628565 0.593629 0.562488 0.535431 0.512711 0.494542 0.481091 0.472485 0.468804 0.470083 0.47631 0.487426 0.503327 0.523866 0.548851 0.578047 0.611183 0.647949 0.688002 0.730969 0.776447 0.824012 0.87322 0.923613 0.974719 1.02606 1.07716 1.12754 1.17673 1.22426 1.26971 1.31264 1.35264 1.38936 1.42244 1.45158 1.47649 1.49697 1.5128 1.52384 1.52999 1.53119 1.52743 1.51875 1.50522 1.48698 1.46419 1.43706 1.40586 1.37086 1.33241 1.29085 1.24657 1.19999 1.15155 1.10169 1.05088 0.999595 
0.947331 0.895567 0.844778 0.795438 0.748008 0.702931 0.660627 0.621492 0.585891 0.554156 0.526584 0.503432 0.484916 0.471209 0.462439 0.458689 0.459992 0.466337 0.477665 0.493869 0.514799 0.540259 0.570012 0.603779 0.641245 0.682061 0.725846 0.77219 0.820661 0.870806 0.922159 0.974237 1.02656 1.07863 1.12997 1.18009 1.22854 1.27485 1.31859 1.35936 1.39677 1.43048 1.46017 1.48557 1.50643 1.52256 1.53381 1.54008 1.54131 1.53748 1.52863 1.51484 1.49625 1.47303 1.44539 1.41359 1.37793 1.33874 1.29638 1.25127 1.2038 1.15443 1.10362 1.05185 0.999588 
0.946839 0.89459 0.843326 0.793525 0.745652 0.700153 0.657454 0.617953 0.582019 0.549987 0.522157 0.498789 0.4801 0.466265 0.457413 0.453627 0.454943 0.461347 0.472781 0.489137 0.510262 0.535961 0.565991 0.600074 0.637891 0.679088 0.723282 0.77006 0.818984 0.869599 0.921431 0.973997 1.02681 1.07936 1.13118 1.18178 1.23067 1.27742 1.32157 1.36272 1.40048 1.43451 1.46448 1.49011 1.51116 1.52745 1.5388 1.54513 1.54637 1.5425 1.53357 1.51966 1.50089 1.47745 1.44955 1.41746 1.38146 1.3419 1.29916 1.25362 1.20571 1.15588 1.10459 1.05233 0.999584 
0.946843 0.894598 0.843338 0.79354 0.74567 0.700175 0.657478 0.61798 0.582049 0.55002 0.522192 0.498825 0.480137 0.466303 0.457452 0.453667 0.454982 0.461386 0.472819 0.489174 0.510298 0.535994 0.566023 0.600103 0.637917 0.679112 0.723303 0.770077 0.818998 0.869608 0.921437 0.973999 1.0268 1.07936 1.13117 1.18176 1.23066 1.2774 1.32155 1.36269 1.40046 1.43448 1.46444 1.49007 1.51113 1.52741 1.53877 1.54509 1.54633 1.54246 1.53353 1.51962 1.50086 1.47742 1.44952 1.41743 1.38143 1.34188 1.29914 1.2536 1.20569 1.15587 1.10459 1.05233 0.999584 
0.947343 0.89559 0.844812 0.795482 0.748063 0.702996 0.660701 0.621575 0.585982 0.554254 0.526688 0.503541 0.485029 0.471325 0.462558 0.458808 0.460111 0.466455 0.47778 0.493981 0.514906 0.540361 0.570107 0.603866 0.641324 0.682131 0.725906 0.77224 0.820701 0.870836 0.922176 0.974244 1.02655 1.07861 1.12994 1.18005 1.22849 1.27479 1.31852 1.35928 1.39669 1.43039 1.46007 1.48546 1.50632 1.52245 1.5337 1.53996 1.54119 1.53736 1.52851 1.51473 1.49615 1.47293 1.44529 1.4135 1.37784 1.33866 1.29632 1.25121 1.20376 1.1544 1.1036 1.05184 0.999588 
0.948335 0.897556 0.847734 0.799334 0.752808 0.70859 0.667092 0.628702 0.59378 0.56265 0.535603 0.512892 0.494729 0.481283 0.472681 0.469002 0.47028 0.476504 0.487616 0.503512 0.524043 0.549018 0.578204 0.611328 0.64808 0.688119 0.731069 0.77653 0.824078 0.873269 0.923642 0.974729 1.02605 1.07713 1.12749 1.17666 1.22418 1.26961 1.31252 1.35252 1.38922 1.42228 1.45141 1.47632 1.49678 1.51261 1.52364 1.52979 1.53099 1.52724 1.51856 1.50504 1.4868 1.46402 1.4369 1.40571 1.37073 1.33228 1.29074 1.24648 1.19992 1.15149 1.10165 1.05086 0.999595 
0.949809 0.900479 0.852079 0.80506 0.759861 0.716904 0.676591 0.639297 0.605371 0.575129 0.548854 0.526791 0.509146 0.496084 0.487727 0.484153 0.485395 0.491442 0.502237 0.517679 0.537624 0.561887 0.590239 0.622418 0.658122 0.697018 0.738743 0.782907 0.829098 0.876885 0.925821 0.97545 1.02531 1.07493 1.12385 1.17162 1.21779 1.26192 1.3036 1.34246 1.37811 1.41024 1.43853 1.46273 1.48261 1.49798 1.5087 1.51468 1.51584 1.51219 1.50376 1.49063 1.47291 1.45078 1.42444 1.39413 1.36015 1.3228 1.28244 1.23945 1.19421 1.14717 1.09875 1.04941 0.999607 
0.951751 0.904331 0.857804 0.812605 0.769156 0.727862 0.689109 0.653259 0.620646 0.591575 0.566317 0.545108 0.528147 0.51559 0.507557 0.504121 0.505315 0.511128 0.521505 0.536349 0.555522 0.578845 0.606101 0.637034 0.671356 0.708746 0.748856 0.79131 0.835713 0.88165 0.928693 0.976401 1.02433 1.07203 1.11906 1.16498 1.20936 1.25178 1.29185 1.3292 1.36348 1.39436 1.42156 1.44482 1.46393 1.4787 1.48901 1.49475 1.49588 1.49237 1.48426 1.47164 1.45461 1.43333 1.40801 1.37888 1.34621 1.31031 1.27151 1.23018 1.1867 1.14147 1.09493 1.0475 0.999622 
0.954144 0.909076 0.864857 0.8219 0.780607 0.741361 0.70453 0.670459 0.639463 0.611834 0.58783 0.567673 0.551553 0.539619 0.531984 0.528719 0.529854 0.535378 0.54524 0.559348 0.57757 0.599737 0.62564 0.655038 0.687658 0.723193 0.761313 0.801662 0.843862 0.887521 0.93223 0.977571 1.02312 1.06846 1.11316 1.1568 1.19897 1.23929 1.27738 1.31287 1.34545 1.3748 1.40065 1.42275 1.44092 1.45496 1.46476 1.47021 1.47128 1.46795 1.46024 1.44824 1.43206 1.41184 1.38777 1.36008 1.32904 1.29492 1.25804 1.21876 1.17744 1.13445 1.09022 1.04514 0.99964 
0.956965 0.91467 0.873172 0.832858 0.794105 0.757275 0.72271 0.690735 0.661647 0.635718 0.61319 0.594274 0.579146 0.567947 0.560782 0.557717 0.558782 0.563966 0.573222 0.586462 0.603563 0.624365 0.648674 0.676264 0.706876 0.740225 0.775999 0.813865 0.853469 0.894441 0.936399 0.978951 1.0217 1.06425 1.10619 1.14715 1.18673 1.22457 1.26031 1.29362 1.32419 1.35173 1.37599 1.39674 1.41379 1.42697 1.43616 1.44128 1.44228 1.43915 1.43192 1.42066 1.40547 1.3865 1.36391 1.33793 1.30879 1.27677 1.24217 1.2053 1.16652 1.12618 1.08467 1.04236 0.999662 
0.960188 0.921061 0.882671 0.845377 0.809526 0.775454 0.743479 0.713899 0.68699 0.663003 0.642163 0.624663 0.610668 0.600308 0.59368 0.590845 0.59183 0.596626 0.605188 0.617436 0.633256 0.6525 0.674989 0.700512 0.728831 0.759682 0.792777 0.827807 0.864444 0.902347 0.941163 0.980528 1.02007 1.05943 1.09824 1.13613 1.17274 1.20775 1.24081 1.27163 1.29991 1.32539 1.34783 1.36703 1.38279 1.39499 1.40349 1.40823 1.40916 1.40626 1.39957 1.38915 1.3751 1.35755 1.33665 1.31262 1.28566 1.25604 1.22403 1.18992 1.15405 1.11673 1.07832 1.03919 0.999686 
0.963782 0.928188 0.893265 0.859339 0.826726 0.795731 0.766643 0.739734 0.715255 0.693434 0.674476 0.658557 0.645826 0.636402 0.630372 0.627793 0.628689 0.633052 0.640841 0.651983 0.666374 0.68388 0.704338 0.727556 0.753318 0.781383 0.811489 0.843356 0.876685 0.911165 0.946475 0.982286 1.01826 1.05407 1.08937 1.12383 1.15714 1.18899 1.21907 1.2471 1.27283 1.29601 1.31642 1.33388 1.34823 1.35932 1.36706 1.37137 1.37221 1.36958 1.36349 1.35401 1.34123 1.32526 1.30625 1.28439 1.25987 1.23292 1.2038 1.17277 1.14013 1.10619 1.07125 1.03565 0.999714 
0.967714 0.935986 0.904856 0.874614 0.845543 0.817914 0.791986 0.767999 0.746179 0.726728 0.709829 0.695639 0.684291 0.67589 0.670515 0.668216 0.669015 0.672904 0.679847 0.689779 0.702607 0.718212 0.736447 0.757144 0.780108 0.805125 0.831961 0.860367 0.890076 0.920812 0.952288 0.984209 1.01628 1.04819 1.07966 1.11039 1.14008 1.16846 1.19528 1.22027 1.2432 1.26386 1.28206 1.29762 1.31041 1.3203 1.3272 1.33104 1.33179 1.32944 1.32402 1.31557 1.30417 1.28994 1.27299 1.2535 1.23164 1.20762 1.18166 1.15401 1.12491 1.09466 1.06351 1.03178 0.999744 
0.971948 0.944382 0.917335 0.89106 0.865802 0.841798 0.81927 0.798431 0.779473 0.762573 0.747891 0.735563 0.725703 0.718404 0.713734 0.711737 0.712431 0.71581 0.721842 0.730471 0.741616 0.755174 0.771018 0.788999 0.808951 0.830686 0.854003 0.878682 0.904494 0.931199 0.958545 0.98628 1.01414 1.04187 1.06921 1.09591 1.1217 1.14637 1.16966 1.19137 1.2113 1.22925 1.24506 1.25859 1.2697 1.27829 1.28428 1.28762 1.28827 1.28623 1.28152 1.27418 1.26427 1.25191 1.23719 1.22025 1.20126 1.18039 1.15783 1.13381 1.10853 1.08224 1.05518 1.02761 0.999777 
0.976444 0.953297 0.930586 0.908523 0.887315 0.867159 0.848243 0.830744 0.814825 0.800636 0.788307 0.777955 0.769676 0.763548 0.759627 0.75795 0.758533 0.76137 0.766435 0.77368 0.783039 0.794423 0.807726 0.822825 0.839578 0.857828 0.877407 0.89813 0.919804 0.942227 0.96519 0.988478 1.01187 1.03516 1.05812 1.08053 1.10219 1.1229 1.14246 1.1607 1.17743 1.1925 1.20578 1.21713 1.22646 1.23367 1.23871 1.24151 1.24206 1.24034 1.23639 1.23022 1.22191 1.21152 1.19916 1.18494 1.169 1.15147 1.13253 1.11236 1.09113 1.06905 1.04633 1.02318 0.999811 
0.981159 0.962648 0.944485 0.92684 0.909879 0.89376 0.878632 0.864638 0.851907 0.840559 0.8307 0.822421 0.8158 0.810899 0.807764 0.806422 0.806888 0.809157 0.813208 0.819002 0.826486 0.83559 0.84623 0.858304 0.871702 0.886298 0.901956 0.918529 0.935862 0.953795 0.97216 0.990784 1.0095 1.02812 1.04648 1.0644 1.08173 1.09829 1.11394 1.12852 1.1419 1.15395 1.16457 1.17365 1.18111 1.18688 1.19091 1.19315 1.19359 1.19222 1.18905 1.18412 1.17747 1.16917 1.15928 1.14791 1.13515 1.12114 1.10599 1.08985 1.07288 1.05522 1.03705 1.01854 0.999847 
0.986051 0.972347 0.958902 0.945841 0.933285 0.921353 0.910154 0.899795 0.890372 0.881972 0.874673 0.868545 0.863644 0.860016 0.857695 0.856703 0.857047 0.858727 0.861725 0.866014 0.871554 0.878293 0.886169 0.895107 0.905025 0.915829 0.92742 0.939688 0.95252 0.965795 0.979389 0.993176 1.00703 1.02081 1.0344 1.04768 1.0605 1.07276 1.08434 1.09514 1.10504 1.11397 1.12183 1.12855 1.13407 1.13834 1.14132 1.14298 1.14331 1.14229 1.13995 1.1363 1.13138 1.12523 1.11791 1.10949 1.10005 1.08967 1.07846 1.06652 1.05395 1.04088 1.02743 1.01372 0.999885 
0.991072 0.982305 0.973703 0.965346 0.957314 0.94968 0.942516 0.935888 0.92986 0.924486 0.919817 0.915897 0.912762 0.910441 0.908956 0.908321 0.908541 0.909616 0.911534 0.914277 0.917821 0.922133 0.927171 0.932889 0.939234 0.946146 0.953561 0.96141 0.96962 0.978113 0.986811 0.995632 1.00449 1.01331 1.02201 1.0305 1.03871 1.04655 1.05396 1.06087 1.06721 1.07292 1.07795 1.08225 1.08578 1.08852 1.09042 1.09148 1.09169 1.09104 1.08954 1.08721 1.08406 1.08012 1.07544 1.07005 1.06401 1.05737 1.0502 1.04255 1.03451 1.02615 1.01755 1.00878 0.999923 
0.996177 0.992428 0.988749 0.985176 0.981741 0.978477 0.975414 0.97258 0.970003 0.967705 0.965709 0.964034 0.962693 0.961701 0.961066 0.960795 0.960889 0.961348 0.962168 0.963341 0.964856 0.966699 0.968853 0.971298 0.97401 0.976966 0.980137 0.983493 0.987004 0.990636 0.994356 0.998129 1.00192 1.00569 1.00941 1.01304 1.01655 1.01991 1.02308 1.02603 1.02874 1.03119 1.03334 1.03518 1.03669 1.03786 1.03868 1.03913 1.03922 1.03894 1.0383 1.0373 1.03595 1.03427 1.03227 1.02996 1.02738 1.02454 1.02147 1.0182 1.01476 1.01118 1.0075 1.00375 0.999963 
1.00132 1.00262 1.0039 1.00514 1.00634 1.00747 1.00854 1.00953 1.01043 1.01123 1.01192 1.01251 1.01297 1.01332 1.01354 1.01364 1.0136 1.01344 1.01316 1.01275 1.01222 1.01158 1.01083 1.00997 1.00903 1.008 1.0069 1.00573 1.00451 1.00325 1.00195 1.00064 0.999326 0.998015 0.996724 0.995463 0.994244 0.99308 0.991979 0.990954 0.990014 0.989166 0.98842 0.987781 0.987257 0.986851 0.986568 0.98641 0.986379 0.986475 0.986697 0.987044 0.987511 0.988094 0.988789 0.989588 0.990484 0.99147 0.992535 0.993669 0.994863 0.996105 0.997384 0.998687     1 
1.00645 1.01279 1.01902 1.02506 1.03088 1.0364 1.04159 1.04639 1.05075 1.05464 1.05802 1.06086 1.06313 1.06481 1.06589 1.06635 1.06619 1.06541 1.06402 1.06203 1.05947 1.05635 1.0527 1.04856 1.04396 1.03896 1.03359 1.02791 1.02197 1.01583 1.00953 1.00315 0.996739 0.990358 0.984067 0.977925 0.971989 0.966315 0.960955 0.95596 0.951376 0.947246 0.943608 0.940497 0.937941 0.935965 0.934586 0.933818 0.933668 0.934137 0.93522 0.936909 0.939186 0.942031 0.945417 0.949313 0.953682 0.958483 0.963672 0.969201 0.975017 0.981066 0.987292 0.993637 1.00004 
1.01151 1.02284 1.03395 1.04475 1.05513 1.06499 1.07425 1.08281 1.0906 1.09755 1.10358 1.10865 1.1127 1.1157 1.11762 1.11844 1.11816 1.11677 1.11429 1.11074 1.10616 1.10059 1.09408 1.08669 1.07849 1.06956 1.05998 1.04984 1.03923 1.02826 1.01702 1.00563 0.994182 0.98279 0.971558 0.960593 0.949995 0.939864 0.930295 0.921377 0.913192 0.905818 0.899323 0.893769 0.889205 0.885677 0.883215 0.881844 0.881576 0.882413 0.884348 0.887363 0.891429 0.896509 0.902555 0.909511 0.917312 0.925885 0.935149 0.94502 0.955403 0.966203 0.977319 0.988647 1.00008 
1.01647 1.03268 1.04857 1.06402 1.07886 1.09297 1.10621 1.11847 1.12961 1.13954 1.14818 1.15542 1.16122 1.16551 1.16826 1.16943 1.16902 1.16703 1.16349 1.15842 1.15186 1.14389 1.13458 1.12401 1.11228 1.0995 1.0858 1.07129 1.05612 1.04043 1.02435 1.00805 0.991679 0.975383 0.959316 0.943629 0.928468 0.913975 0.900286 0.887527 0.875819 0.86527 0.855979 0.848032 0.841504 0.836456 0.832935 0.830973 0.830589 0.831787 0.834556 0.838869 0.844686 0.851954 0.860603 0.870554 0.881714 0.893978 0.907232 0.921352 0.936206 0.951656 0.967558 0.983762 1.00012 
1.02128 1.04221 1.06274 1.08269 1.10186 1.12009 1.13719 1.15301 1.16741 1.18024 1.19138 1.20075 1.20823 1.21377 1.21732 1.21884 1.21831 1.21574 1.21116 1.20461 1.19615 1.18585 1.17382 1.16017 1.14502 1.12852 1.11082 1.09208 1.07249 1.05222 1.03146 1.0104 0.989255 0.968205 0.947453 0.927191 0.907609 0.88889 0.871208 0.854728 0.839605 0.82598 0.813979 0.803715 0.795283 0.788762 0.784214 0.78168 0.781185 0.782733 0.786309 0.79188 0.799394 0.808781 0.819953 0.832806 0.84722 0.863061 0.88018 0.898418 0.917604 0.93756 0.958099 0.979029 1.00016 
1.02589 1.05134 1.07632 1.10058 1.12391 1.14608 1.16688 1.18613 1.20364 1.21925 1.23281 1.24419 1.2533 1.26004 1.26435 1.2662 1.26556 1.26244 1.25686 1.24889 1.2386 1.22608 1.21145 1.19484 1.17641 1.15634 1.13481 1.11202 1.08818 1.06352 1.03827 1.01266 0.98693 0.961325 0.93608 0.911433 0.887613 0.864842 0.843332 0.823286 0.804889 0.788314 0.773716 0.76123 0.750973 0.743041 0.737508 0.734426 0.733824 0.735706 0.740056 0.746833 0.755974 0.767393 0.780983 0.796619 0.814153 0.833423 0.854247 0.876433 0.899772 0.924047 0.949032 0.974492 1.00019 
1.03025  1.06 1.08919 1.11754 1.1448 1.17071 1.19502 1.21751 1.23797 1.25621 1.27205 1.28536 1.296 1.30388 1.30892 1.31108 1.31033 1.30668 1.30017 1.29086 1.27883 1.26419 1.24709 1.22769 1.20615 1.1827 1.15754 1.1309 1.10305 1.07423 1.04472 1.01479 0.984728 0.954805 0.925305 0.896502 0.868666 0.842055 0.81692 0.793493 0.771995 0.752626 0.735566 0.720974 0.708988 0.699719 0.693254 0.689652 0.688948 0.691148 0.696231 0.704151 0.714833 0.728177 0.744059 0.762331 0.782821 0.80534 0.829675 0.855601 0.882876 0.911244 0.94044 0.970193 1.00022 
1.03434 1.0681 1.10122 1.1334 1.16434 1.19374 1.22133 1.24686 1.27008 1.29078 1.30876 1.32386 1.33594 1.34488 1.3506 1.35305 1.3522 1.34806 1.34067 1.3301 1.31645 1.29984 1.28043 1.25841 1.23397 1.20735 1.17879 1.14857 1.11695 1.08425 1.05076 1.01679 0.982668 0.948708 0.915227 0.882537 0.850945 0.820744 0.792216 0.765629 0.74123 0.719246 0.699884 0.683324 0.669721 0.659201 0.651863 0.647776 0.646976 0.649473 0.655243 0.664231 0.676354 0.691499 0.709524 0.730262 0.753517 0.779074 0.806694 0.836118 0.867073 0.899269 0.932405 0.966172 1.00026 
1.0381 1.07556 1.11231 1.14802 1.18234 1.21497 1.24558 1.2739 1.29967 1.32263 1.34259 1.35934 1.37275 1.38266 1.38901 1.39173 1.39078 1.38619 1.37799 1.36626 1.35112 1.33269 1.31116 1.28672 1.2596 1.23007 1.19838 1.16484 1.12977 1.09348 1.05632 1.01863 0.98077 0.943089 0.90594 0.869669 0.834616 0.801106 0.769453 0.739953 0.712881 0.688489 0.667006 0.648631 0.633537 0.621865 0.613723 0.609188 0.608301 0.611072 0.617473 0.627446 0.640898 0.657702 0.677702 0.700711 0.726515 0.754871 0.785517 0.818165 0.852511 0.888234 0.925 0.962467 1.00028 
1.04151 1.08232 1.12236 1.16125 1.19865 1.23418 1.26754 1.29839 1.32646 1.35148 1.37322 1.39147 1.40607 1.41687 1.42379 1.42675 1.42572 1.42071 1.41178 1.39901 1.3825 1.36243 1.33897 1.31235 1.28281 1.25063 1.21612 1.17958 1.14137 1.10183 1.06135 1.0203 0.979051 0.938002 0.897532 0.858018 0.819831 0.783325 0.748842 0.716705 0.687212 0.66064 0.637236 0.617219 0.600776 0.58806 0.57919 0.574249 0.573283 0.576301 0.583275 0.59414 0.608794 0.627101 0.648889 0.673955 0.702065 0.732957 0.766343 0.80191 0.839326 0.878243 0.918296 0.959113 1.00031 
1.04453 1.0883 1.13125 1.17298 1.21309 1.25122 1.28699 1.32009 1.3502 1.37704 1.40036 1.41994 1.4356 1.44719 1.45461 1.45778 1.45668 1.45131 1.44173 1.42802 1.41032 1.38879 1.36363 1.33507 1.30338 1.26886 1.23183 1.19264 1.15165 1.10924 1.06581 1.02177 0.977528 0.933494 0.89008 0.847693 0.806728 0.767567 0.730577 0.696102 0.664464 0.635959 0.610853 0.58938 0.571741 0.558101 0.548586 0.543285 0.542249 0.545487 0.552968 0.564623 0.580343 0.599981 0.623354 0.650243 0.680398 0.713537 0.74935 0.787504 0.827641 0.869388 0.912355 0.95614 1.00033 
1.04713 1.09347 1.13893 1.18309 1.22555 1.2659 1.30377 1.3388 1.37067 1.39908 1.42376 1.44449 1.46106 1.47333 1.48118 1.48454 1.48337 1.47769 1.46755 1.45305 1.43431 1.41152 1.38488 1.35466 1.32112 1.28458 1.24539 1.2039 1.16051 1.11563 1.06966 1.02305 0.976215 0.929606 0.883655 0.838789 0.79543 0.75398 0.714827 0.678336 0.644849 0.614678 0.588104 0.565376 0.546705 0.532267 0.522196 0.516586 0.515489 0.518916 0.526835 0.539171 0.55581 0.576596 0.601335 0.629797 0.661714 0.696791 0.734698 0.775082 0.817566 0.861753 0.907232 0.953576 1.00035 
1.04929 1.09775 1.1453 1.1915 1.2359 1.27811 1.31771 1.35435 1.38768 1.4174 1.44321 1.46489 1.48222 1.49506 1.50327 1.50678 1.50556 1.49962 1.48901 1.47384 1.45424 1.4304 1.40255 1.37093 1.33585 1.29764 1.25665 1.21326 1.16788 1.12093 1.07286 1.0241 0.975124 0.926376 0.878315 0.831391 0.786041 0.742689 0.701739 0.663574 0.62855 0.596994 0.5692 0.545429 0.525902 0.510801 0.500268 0.4944 0.493253 0.496838 0.50512 0.518022 0.535425 0.557165 0.583039 0.612807 0.64619 0.682876 0.722522 0.76476 0.809194 0.855409 0.902975 0.951446 1.00037 
1.051 1.10113 1.15032 1.19811 1.24405 1.28771 1.32869 1.36659 1.40108 1.43181 1.45852 1.48095 1.49888 1.51216 1.52065 1.52428 1.52302 1.51687 1.5059 1.49021 1.46993 1.44527 1.41645 1.38375 1.34746 1.30792 1.26551 1.22063 1.17368 1.12511 1.07538 1.02494 0.974265 0.923833 0.874112 0.825567 0.778651 0.733801 0.691436 0.651953 0.615719 0.583073 0.554319 0.529727 0.509525 0.493903 0.483006 0.476935 0.475749 0.479457 0.488025 0.501373 0.519377 0.541868 0.568636 0.599432 0.633968 0.671921 0.712938 0.756634 0.802603 0.850415 0.899624 0.94977 1.00038 
1.05222 1.10357 1.15394 1.20288 1.24992 1.29463 1.33659 1.37541 1.41072 1.4422 1.46955 1.49251 1.51088 1.52448 1.53317 1.53689 1.5356 1.52931 1.51807 1.502 1.48124 1.45598 1.42647 1.39298 1.35581 1.31533 1.2719 1.22593 1.17786 1.12812 1.07719 1.02554 0.973646 0.922001 0.871084 0.821372 0.773327 0.727398 0.684015 0.643581 0.606476 0.573044 0.543599 0.518415 0.497728 0.48173 0.47057 0.464354 0.463139 0.466936 0.475711 0.48938 0.507817 0.530849 0.558261 0.589798 0.625164 0.66403 0.706033 0.750781 0.797855 0.846817 0.89721 0.948562 1.00039 
1.05296 1.10503 1.15612 1.20575 1.25346 1.2988 1.34136 1.38072 1.41654 1.44846 1.47619 1.49948 1.51811 1.5319 1.54072 1.54449 1.54318 1.5368 1.5254 1.5091 1.48805 1.46243 1.43251 1.39854 1.36085 1.31979 1.27575 1.22913 1.18038 1.12994 1.07828 1.0259 0.973273 0.920897 0.86926 0.818844 0.770119 0.72354 0.679543 0.638538 0.600907 0.567002 0.537141 0.5116 0.49062 0.474395 0.463078 0.456774 0.455542 0.459393 0.468291 0.482154 0.500852 0.52421 0.55201 0.583993 0.61986 0.659276 0.701873 0.747254 0.794995 0.84465 0.895755 0.947834 1.0004 
1.05321 1.10552 1.15684 1.2067 1.25463 1.30018 1.34293 1.38248 1.41846 1.45053 1.47839 1.50179 1.5205 1.53435 1.54322 1.54701 1.54569 1.53928 1.52783 1.51145 1.4903 1.46457 1.4345 1.40038 1.36252 1.32127 1.27702 1.23019 1.18121 1.13054 1.07864 1.02602 0.97315 0.920532 0.868657 0.818007 0.769058 0.722264 0.678063 0.636869 0.599064 0.565003 0.535004 0.509345 0.488268 0.471969 0.460599 0.454266 0.453028 0.456897 0.465836 0.479763 0.498547 0.522013 0.549942 0.582072 0.618105 0.657703 0.700497 0.746088 0.794049 0.843933 0.895274 0.947594 1.0004 
];
figure;
plot3(X,Y,U,'.b','MarkerSize',5);
title('N = 64, uy');
P = [-0.146859 -0.142708 -0.135977 -0.126915 -0.11586 -0.103225 -0.0894798 -0.0751368 -0.0607304 -0.0467975 -0.0338571 -0.0223916 -0.012828 -0.00552276 -0.000748099 0.00131808 0.000598789 -0.00287917 -0.00898619 -0.0174947 -0.0280877 -0.0403705 -0.0538853 -0.0681286 -0.0825698 -0.0966706 -0.109906 -0.121782 -0.131857 -0.139755 -0.145182 -0.147936 -0.147914 -0.145118 -0.13965 -0.131715 -0.121609 -0.109708 -0.0964548 -0.0823444 -0.067902 -0.0536656 -0.0401659 -0.0279056 -0.0173417 -0.00886769 -0.00279936 0.000637218 0.00131399 -0.000794263 -0.00560898 -0.0129508 -0.0225461 -0.0340374 -0.0469965 -0.0609407 -0.0753503 -0.0896885 -0.103421 -0.116036 -0.127064 -0.136094 -0.142789 -0.1469 -0.148274 
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];
figure;
plot3(X,Y,P,'.b','MarkerSize',5);
title('N = 64, p');
E = [0.0149588,0.000531599,1.68808e-005
];
figure;
plot(log2(E),'o-');
hold on;
E = [0.0104219,0.000538536,2.48418e-005
];
plot(log2(E),'o-');
legend('u','p');
title('Convergence rate');
T = [68.664,532.13,6652.34];
figure;
plot(T,'o-');
title('Time');

